The Supreme Scientific Method of Universal Value Logic


 

 

 

 

 

 

The Supreme Scientific Method
of Universal Value Logic:

The Logical-Value Super-Telescope

of the Second Scientific Revolution

 

 

Copyright © 2005–2006 by Conrad Schneiker — All rights reserved.

Conrad.Schneiker@Gmail.com

www.AthenaLab.com

 

 

Rough Draft / Outline

This copy was revised on Tuesday, 02/07/2006 at 4:15:00 AM MST.

This book is updated approximately weekly—please check link below for newest version:

(http://www.AthenaLab.com/The_Supreme_Scientific_Method.pdf)

 

 


0. Brief Abstract

It’s fairly easy to prove with absolute certainty that not all of our knowledge can be objectively mistaken, and thereby to also generate a specific (although semi-trivial) example. However, the most important, notoriously-difficult, and seeming-unsolvable problem of both science and philosophy is how to go far beyond such extremely narrow provable facts. Finding the provably-correct, universal, objective, absolute, core foundations of all science is the supremely important central problem of establishing the genuinely scientific philosophy of science. Fortunately, all the essential component solutions for this system have been multiply-discovered and “hidden in plain sight”, within the vast literature variously relating to this subject.

Reasoning to and from first principles is infamously fallible. Fortunately the systematic structure of this system powerfully facilitates self-correction—indeed this system is the ultimate logical-methodological basis of all self-correction. This instrumental logical-value system is necessarily (implicitly) logically-presupposed by all (explicitly conceptually-conscious) realistic thinking. This absolutely-essential, logically-universal, reflexively-invariant character makes the (post-discovery) derivation and identity proofs of this system’s logically-supreme axioms surprisingly straightforward. This extraordinary scientific-cultural achievement is almost totally unrecognized (as of 2005), partly because some very-widely-prevailing misconceptions make it somewhat counterintuitive. The spread of this system involves major corrections to prevailing world views, analogous to the first scientific revolution’s shift from earth-centered to sun-centered astronomy. This is indeed the “second scientific revolution”, and it’s already underway.

I call this generalized self-correcting and self-extending process for deriving (and extending) this “fundamental science of all science” the “supreme scientific method”. I report on these here, along with some of their many intriguing, powerful, and far-ranging implications. Have a look through the “logical telescope of the second scientific revolution” and see for yourself. :-)


1. Extended Abstract

The first scientific revolution was ironically radically incomplete in having failed to discover, develop, and solidly establish it’s genuinely-scientific and logically-rigorous philosophical foundations. The overwhelming knowledge explosion, the academic population explosion, and the communication revolution have all collectively tended to thwart scientific consolidation in the realm of philosophy. Finding the provably-correct, universal, objective, absolute, core foundations of all science is thus the supremely important central problem of establishing the genuinely scientific philosophy of science. No commonly accepted solution to this great problem has emerged, despite the prodigious amount of 20th century work directed at various aspects of it.

This is a surprisingly tricky and exceptionally challenging problem (until you know the answer). It taught us the hard way that our minds and universe are extraordinarily sophisticated and subtle beyond belief. Any systematic solution will necessarily seem suspect by having to selectively reject several widely-accepted “scientific” sacred cows (resulting from inevitable errors made in ignorance of that solution). Even so, this problem’s seeming persistence into the 21st century is still a bizarre and even scandalous scientific anomaly. However, all the essential component solutions of this problem were definitely known by the 1990s (and likely very much earlier). And yet this extraordinary scientific-cultural achievement is almost totally unrecognized, although all the component solutions are published (and mostly now available on the web), effectively “hidden in plain sight”. However, as of 2005, I’d still not seen a full-fledged solution.

So I’ve attempted to provide a preliminary presentation of the solution here. To considerably over-simplify (for the sake of brevity), the key ideas involve systematically and comprehensively pursuing the implications of the several well-known logical characteristics of reflexive self-consistency and reflexive self-contradiction. These are manifestations of an instrumental logical-value system is necessarily (implicitly) logically-presupposed by all (explicitly conceptually-conscious) realistic thinking. This absolutely-essential, logically-universal, reflexively-invariant character makes the process of (post-discovery) validating this system’s logically-supreme axioms surprisingly straightforward. This process shows that (1) the foundations of universal logic are much more extensive than conventionally conceived—the 2 ancient laws of logic and the more-recently-discovered praxeology axiom are part of an extended family of at least a dozen universal axiomatic laws, (2) universal logic is intensional logic, (3) this is normative system that intrinsically constitutes the universally-supreme framework of instrumental ethics, (4) this instrumental-methodological ethics of logically realistic thinking constitutes the “supreme scientific method” that is logically prior to all other scientific methods, (5) the axiomatically-grounded span of non-provisional, non-hypothetical, provably valid, necessary scientific fact (including instrumental objective values) is very much greater than conventionally believed, (6) this greatly-extended content is a further constitutive part of the logically-primary ethical framework of science, and (7) this system constitutes the greatest universal common good.

Reasoning to and from first principles is infamously fallible. Fortunately the systematic structure of this system powerfully facilitates self-correction—indeed this system is the ultimate logical-methodological basis of all self-correction. The spread of this ultimate foundational system and supreme scientific method constitutes the emerging second scientific revolution.

The resolution of this crucial problem of foundational science is extremely interesting, since it necessarily has many exceptionally powerful and important implications for all scientific endeavors—and thus for very substantially improving human well-being in general. We indicate some of these far-reaching scientific implications for math, physics, economics, metaethics, consciousness, and the logically fundamental ontology of moderate realism. Here are some very provocative examples: (1) this system constitutes the ultimate scientific foundation of economics, (2) as Gödel himself hopefully anticipated, his famous incompleteness theorems do not apply to intensional logic, and (3) as Einstein tenaciously maintained, (quantum) physics is ultimately perfectly determinate, even though our data rarely is. We live in truly astounding times—read on!


2. Preface

Finding the provably correct, universal, objective, absolute, core foundations of all science is the supremely important central problem of establishing the genuinely scientific philosophy of science. This has turned out to be a surprisingly tricky and exceptionally challenging problem. It has thwarted countless great scientific and philosophic minds, despite considerable work on it over the last 240 decades or so. (An enormous amount of work was done on this during the 20th century—perhaps as much as in all preceding centuries combined.) There is overwhelming piecemeal evidence that there must be a satisfactory knowable solution to this problem—yet the overwhelming majority of purported solutions fail to withstand close scrutiny, and most seeming close-calls turned out to be wide of the mark or seriously incomplete. Nevertheless, all the essential components of the ultimate solution are publicly available. I’m just reporting on what is already in the world’s vast and fantastic stockpile of technical literature.

There is an interesting problem in recognizing the solution for what it is. There are a variety of widely-held and seemingly-reasonable false-presumptions and false-dichotomies that make the solution seem somewhat counterintuitive for most people. Our situation is analogous to the time of the first scientific revolution, whose heliocentric system seemed counterintuitive given that the sun sure looks like it goes around the earth—indeed we still say the sun “rises” and “sets”.[1] This sort of generally prevailing condition is another reason why it took so long for the solution to finally emerge, and why it’s likely to take a while for it to become fully incorporated into the predominant scientific world view. (These characteristics certainly repeatedly tripped me up as well.)

For purposes of preemptively eliminating and minimizing errors in this project, I’ve very diligently and relentlessly avoided “reinventing the wheel” (or inventing at all, for that matter). However, there was no sufficiently-close precedent of systematic organization that I could directly copy for purposes of reporting the many results I’d gathered elsewhere. So I’ve very likely made a few major blunders in attempting this initial systematic formulation of the solution, including possible errors of misunderstanding and misreporting. However this system contains a sufficient core web of mutually-reinforcing and (previously known-to-be) indisputably-valid components that any major blunders I’ve introduced cannot be ultimately fatal to it, despite whatever substantial revisions are thereby required. Moreover, this system constitutes an exceptionally logically-powerful self-diagnostic (universally reflexive) framework for finding (and fixing) such blunders—so please have at it!

I’ve presented the solution 3 times here, in 3 stages of increasing comprehensiveness and detail. This should make it easier for you to initially learn the basics of this system without getting bogged down in endless details, yet still allows you to subsequently pursue the details if you so choose. Just as importantly, this approach also helps me explicitly formulate my still rather haphazard, fragmentary, and semi-intuitive notions of the solution—this document is an integral part of the overall discovery and development process.

The 1st presentation is the highly schematic overview in the Extended Abstract (page 4). The 2nd presentation is a straightforward Introductory Overview (page 26). The rest of this document is the 3rd presentation, which builds on the 2nd presentation and goes into lots more detail and provides much more background discussion. It’s intended to deal with the many (mostly appropriate) questions to be expected from skeptical (but reasonably open-minded) members of the scientific community. It should also help others (hopefully including you) in “debugging” this document, and to further refine and extend this system. The Descriptive Table of Contents (page 10) is intended as a general outline-overview and synopsis of the 2nd and 3rd presentations.

Although this work is ultimately intended for a scientific audience, I’ve aimed to make this extraordinary news reasonably accessible to interested members of the moderately-educated but non-specialist public. The overwhelming majority of the scientific community effectively falls under this public category anyway, since their specialties are mostly in other areas.

2.1 Other preliminaries.

[You can skip this chapter without missing the main discussion. However, I’d recommend a quick glance through the Typographical conventions subsection (page 7).]

2.1.1 Statement of much-better-than “Fair Use” permission to extensively copy and reuse material from this book.

I want to strongly encourage the production of derivative works. The only thing I require in exchange is some very simple and easy marketing and feedback. You hereby have my explicitly stated permission to incorporate however much of this book you find useful into derivative works, subject to the following 2 very reasonable conditions:

1.      You give appropriate and prominent credit in your introduction or preface (whether in a paper, a book, or on the web). That includes providing: my name, the title of this book, a link to the then-current on-line PDF version at my web site (www.athenalab.com), brief mention of the nature and scope of your derivative use of this book, the version (last revision date) of this book (that you extracted from), and a simple statement that I do not endorse your work.

2.      You notify me that you are producing such a work (including telling me where interim public-accessible copies of it will be, if any), and you provide me a copy of that work when it’s completed (in electronic, printed, or CD-ROM form).

Contact me by email if you want to get an MS Word doc file for this manuscript. Please include a statement of your planned use.

Good luck!

2.1.2 Typographical conventions.

Since I read and skim large numbers of books and articles, I’m impatient with English that isn’t visually trivial to read and comprehend quickly. This tends to be at odds with the natural tendency of most philosophical writing to involve longer sentences with more qualifiers than does average prose. (This is not an issue of bad writing as such. Splitting up such writing into lots of shorter sentences creates other problems of mental recombination that leads to other sorts of annoying ambiguity.) Many contemporary computer programming languages routinely incorporate typographical devices aimed at making their syntactic structure readily visually evident, so I’ve resorted to some simple and straightforward experimental typographical conventions aimed at addressing this problem. I’ve probably not hit the “sweet spot”, but I’m encouraged that it definitely helps me proofread my (admittedly inelegant) writing. (This should also assist readers for whom English is a second language—one of my secondary concerns that has led me to cut way back on idioms and less-common figures of speech.)

Here are some things I do primarily to facilitate faster and easier reading, especially on computer video displays. I sometimes use “{…}” (curly brackets) to visually group lists or long phrases. (Often I omit the final “and” or “or” from such lists.) Think of curly braces as special parenthesis for non-parenthetical phrases. For example: {Aristotle, Hilbert, Gödel, Mertz} are all {very innovative, philosophically astute, world-class} logicians. Likewise, I sometimes use hyphens to visually-link 1-or-more short-phrases to make it easier-to-read otherwise visually-ambiguous conjunctions of compound-qualifiers (or whatever). I often use parenthesis (rather than commas) for setting off parenthetical phrases. I sometimes (over)use “—” (em dashes, long hyphens) to visually separate the major pieces of long sentences, and in place of “:”s and “;”s (which I like, but which I visually tend to confuse with each other and with “,”s). For simplicity and greater visibility, I use double quotes instead of single quotes—the intended readings should be sufficiently obvious from context.

My footnote policy is to use footnotes for “academic things” that “typical readers” should feel free to ignore. I sometimes use “[…]” (square brackets) to enclose very brief “in-line footnotes”, especially in the References (page 72). [These “in-line footnotes” also indicate important side-comments that you can still feel free to skip over.]

I use the old “medical journal style” of {mnemonic, embedded, parenthetical} references: “Whatever … (Author-last-name, year).” or “Author-last-name(year) says whatever …”.

I use “<<…>>” (double angle brackets, or “super-sized” French quotes) to mark off my “to do” list items for future revisions of this book.


3. Short Table of Contents

0. Brief Abstract 3

1. Extended Abstract 4

2. Preface. 6

3. Short Table of Contents. 9

4. Descriptive Table of Contents. 10

5. Introductory Overview.. 26

6. Using Reflexive Self-Contradictions to Find {Necessary and Factual} {Truths and Values}  32

7. The Universal Axioms—The Supreme Truths of Reality. 40

8. Major Corollary Implications of the Universal Axioms. 47

9. The Supreme Scientific Method of (Universal Value Logic) Praxeology. 49

10. Further Implications for the Social-Mental Sciences. 52

11. Further Implications for the Life Sciences. 57

12. Further Implications for the Physical Sciences. 58

13. Just for Fun—Speculations on Some Frontiers of Science. 60

14. Supplemental Tools and Other Resources. 64

15. Conclusions. 68

16. Glossary. 70

17. References (Acknowledgments) 72

 


4. Descriptive Table of Contents

0. Brief Abstract 3

1. Extended Abstract 4

2. Preface. 6

2.1 Other preliminaries. 7

2.1.1 Statement of much-better-than “Fair Use” permission to extensively copy and reuse material from this book. 7

2.1.2 Typographical conventions. 7

3. Short Table of Contents. 9

4. Descriptive Table of Contents. 10

5. Introductory Overview.. 26

5.1 {Incomplete, unknown} basic science is the world’s primary socio-cultural problem—the prevailing levels of irrationality and immorality are (mostly) {symptoms, consequences} of this (more) basic {deficiency, ignorance}. 26

5.2 Throughout all recorded history, our world has been saturated with the {routine, institutionalized} products of {deceit, disinformation}—which continues to very {powerfully, effectively} {sabotage, corrupt} the most {fundamental, important} social sciences of {universal logic, ethics, economics, politics, and psychology}. 26

5.2.1 The supreme scientific method is based on the {comprehensive, and rigorous} {identification, and systematization} of the universal axioms needed to {identify, and reject} all the basic products of {deception, falsehoods}—indeed, all the universal axioms were {identified, discovered} by means of {recognizing, rejecting} falsehoods. 27

5.2.2 The supreme scientific method is the missing ultimate science of {intellectual, ethical} integrity that is the absolutely essential {key, foundation} for developing {genuine, honest, productive, advanced} social sciences. 27

5.3 The ultimate “big picture” context of the majestic scientific worldview of universal logical-value can be {approached, discovered} from multiple mutually {convergent, compatible, complementary, overlapping} {routes, perspectives}. 27

5.3.1 (1) What is the universally most {important, valuable, powerful} category (and basic content thereof) of all attainable knowledge? (2) What is the provably-correct, universal, objective, absolute, core foundations of all science? (3) What is the genuinely scientific philosophy of science? (4) What is the ultimately supreme scientific method? (5) What is the ultimate science of integrity? (6) What is the most {fundamental, pervasive, important} characteristic pattern of reality? (7) What are the universally primary eternal verities? (8) What are the ultimate non-hypothetical laws of all science? (9) What is the universally supreme natural revelation of God in terms of the natural Bible of universal reflexive structure (given through all people, to all people)?. 27

5.3.2 This system is not a “theory of everything”—it’s just the most logically {fundamental, primary, absolute, certain} {universal, relational, systematic} pattern of explicitly knowable reality—and thus it’s also the {universally-supreme, instrumentally-objective} criteria of all genuinely scientifically-realistic thinking. 28

5.3.3 We live in an {intrinsically, objectively, qualitatively} {logically-valuable, relationally-intelligible} universe—and our {differing, varying, embodied, embedded} personal webs of intrinsically {self-relating, self-orienting} subjective values are the {counterpart, complementary} {integral, relational} {means, manifestations} of all self-conscious action within this universe—including all {perception, scientific knowing}. 28

5.3.4 The major problem: where is the missing {universal, foundational, primary, objective, eternal} basic scientific map of {the “unity of science”, the “universal order”, the “preestablished harmony of nature”}?. 28

5.4 The nature of the solution—far from perfect, but absolutely “in the right ballpark”. 28

5.4.1 This presented solution is provably predominantly correct—however it is just as certain that this presented solution {is not perfectly error-free, is not fully complete, is not free of unresolved issues}. 28

5.4.2 This presented solution is provably {sufficiently-fundamental, sufficiently-comprehensive} that it will always be a logically strongly-convergent first-approximation of all future {corrections, refinements, elaborations} of it. 28

5.5 Some background considerations. 28

5.5.1 Concentrating on logically “first things first” is crucial for progress. 29

5.5.2 Avoiding the endless maize of important (but secondary) issues. 29

5.6 Breaking the evil spells (and dispelling their cognitive hallucinations) of logically-corrupt false dichotomies—false presuppositions of {false overgeneralization, false exclusivity, false incompatibility}. 29

5.6.1 The false science-philosophy dichotomy. 29

5.6.2 The false logic-ontology (laws of thought versus laws of reality) dichotomy. 29

5.6.3 The false rational-empirical (deductive versus experimental knowledge) dichotomy. 30

5.6.4 The false fact-value dichotomy. 30

5.6.5 The false subjective-objective (value) dichotomy. 30

5.6.6 The false (conceptual-ontological) realism-nominalism dichotomy. 30

5.7 Major categories of factual values. 30

5.7.1 The absolutely required counterparts of the foundational universal web of absolutely permanent objective eternal value-fact-truths are complementary constellations of both {statically invariant, dynamically developing and shifting} {individual-specific, group-specific} {subjective, objective} value-fact-truths. 30

5.7.2 Subjective values are (among other things) objectively true person-specific facts of subjective personal preference. 30

5.7.3 All types of objective values are implicit value presuppositions of subjective valuing (regardless of how {internally-incoherent, and objectively-incoherent} cases of subjective valuation may otherwise be). 30

5.7.4 All types of {embodied, used, recognized, practiced} objective values are subcategories of subjective values. 30

5.7.5 Universal values are exclusively {person-invariant, instrumental} objective values. 30

5.7.6 Person-specific objective values include both ends and means (instrumental) values. 30

5.7.7 “Group-specific values” is a convenient shorthand for {individual-specific, group-oriented} values that {are, or normally should be} held by all individuals constituting a given group—and which are thus (“sub-universally”) person-invariant {relative to, with respect to} the given group of individuals. 30

5.8 A minimal set of technical terms—what do {“axiomatic”, “reflexive”, “axiological”, “praxeological”, “intensional”} mean?. 31

5.8.1 “Axiomatic”—pertains to the ultimate foundational logical facts of reality on which all valid deductions {ultimately, necessarily, implicitly} depend, and all genuinely {true, realistic} knowledge must necessarily be consistent with these ultimately {primal, eternal, absolute, supreme, good} truths. 31

5.8.2 “Reflexive”—pertains to {directly or indirectly} logically{self-inclusive or self-referring} claims. 31

5.8.3 “Axiology”—pertains to {nature and types} of {values and value judgments}. 31

5.8.4 “Praxeology”—pertains to the logical structure of subjective preferences in human action, and the inevitable person-invariant patterns of dynamical consequences that can be deduced from it. 31

5.8.5 “Intensional”—pertains to the logic of using concepts (as distinguished from the logic of sets, for example). 31

5.8.6 We additionally call the special category of {universal (person-invariant), factual} instrumental-objective-values the “(scientific) metavalues”. 31

5.8.7 Thinking more generally includes thoughtful communication (notably including Socratic dialectics). 31

5.9 Logically {Basic, Central, and Primary} Foundational Philosophy. 31

5.9.1 Proof (including disproof) is an extremely powerful means of empirical-experimental testing within our common mental laboratories of {axiomatic, reflexive, intensional, praxeological} logic—although this requires the universal axiomatic context to produce maximally reliably realistic results. 31

5.10 <<To be continued.>>. 31

6. Using Reflexive Self-Contradictions to Find {Necessary and Factual} {Truths and Values}  32

6.1 As Socrates recognized, we already {necessarily, somehow} possess substantial universally valid knowledge as an absolute precondition of the empirically demonstrated capacity to engage in Socratic dialog. 32

6.1.1 We have to somehow have learned (or discovered) how to think substantially realistically in order to learn (or discover) the realistic foundations of realistically-oriented thinking—and strictly speaking, only genuinely realistically-oriented thought (although fallible) genuinely constitutes actual thinking (versus mental fumbling). 32

6.1.2 Our capacity for reflexive (explicitly self-consciously metacognitive) dialectical inquiry (including prudent skepticism) is intrinsically constituted (in part) by our previously-acquired web of (often implicitly held) substantially true conceptual beliefs—although this is (partly, initially) naturally masked by our much larger and more prominent interwoven web of often-faulty beliefs. 32

6.1.3 The universal axioms are necessarily-true presuppositions of all genuinely realistic conceptual thinking (including all correspondingly true beliefs). 32

6.1.4 The very action of dialectical self-inquiry is our {naturally, intrinsically, constitutively, somewhat implicitly} given foundation of absolutely certain truth from which all factually valid deduction proceeds—hence we only need to prove that purported universal axioms are indeed axiomatic presuppositions of this given logically foundational belief system, not that they are true. 32

6.2 Axiomatics and universal axioms. 32

6.2.1 Important note—for ease of (linear) exposition (of a universally reflexive context), many of the claimed facts about universal axioms (described in this chapter) will not be effectively substantiated until after the master list of universal axioms is presented and validated (in the chapter that follows). 32

6.2.2 The universal axioms are the {primary, supreme, eternal, non-hypothetical} laws of science. 32

6.2.3 The absolutely-necessary axiomatic-foundations of logic and proof (versus impossible infinite regresses). 33

6.2.4 {Similarities, differences} of axiomatics in {foundational logical philosophy, mathematics}. 33

6.2.5 The universal axioms are not inherently mutually-exclusive domains and have some natural overlap and redundancy—remember that intensional concepts are typically not {subdivided, extensional} sets. 33

6.2.6 What matters is covering all the known “axiomatic bases” (in a formulation that is convenient for easy comprehension, remembering, discussion, and application)—attempts to “factor” the family of universal axioms into {strictly independent “pure” axioms, strictly “pure” corollaries} are superfluous. 33

6.2.7 The universal axioms all have equally-supreme “ontological priority”—attempts to rate axioms as {more, less} {fundamental, primary} are mistaken. 33

6.2.8 Although the most {important, valuable} axioms have already been discovered (and we’re already very substantially down the curve of diminishing returns), a few more axioms might presently be profitably discovered without excessive effort. 33

6.2.9 While the number of (any designated set of) universal axioms {that, needed to} fully span the range of logically fundamental ontology is finite in number, the number of (respectively designated) axiomatic corollaries is likely unbounded. 34

6.2.10 Extra credit scientific challenge question—how could we know for sure when we have discovered all the fundamental universal axioms (in the sense that all further discoveries will turn out to be overlapping axiomatic corollaries of known axioms)?. 34

6.2.11 I suspect there are 1 or more undiscovered axioms relating to (roughly speaking) {decision theory, dialectics}. 34

6.2.12 Although axiomatic corollaries have mainly secondary {interest, relevance} for the supreme scientific method as such, they may have useful specialized application for increased “logical efficiency” in some highly specialized scientific domains. 34

6.2.13 On the average, subsequent searches for undiscovered universal axioms are increasing likely to turn up axiomatic corollaries. 34

6.2.14 Here are some heuristic strategies of axiomatic discovery: (1) cast a wide net for axioms that exceptionally skilled experts have already (unwittingly) discovered, (2) try putting “seemingly wrong” (but interesting) claims that you encounter into suitably-constraining reflexive form (to be described below), and (3) work at “debugging” the supreme scientific method—we may be unwittingly using 1-or-more undiscovered axioms (if such there be) in the process of learning this system, 1 of which may be key to your spotting an error. 34

6.3 Important types of logical {incongruence, inconsistency, incompatibility} to distinguish for purposes of reflexive proofs. 34

6.3.1 Contradictories—if one is true, the other must be false (and vice versa), but they cannot be both true and both false. 34

6.3.2 Contraries—both can be false, but only one or the other can be true. 34

6.3.3 Categorical opposites versus relational opposites. 34

6.3.4 Merely false self-contradictions. 35

6.3.5 Merely false reflexive self-contradictions. 35

6.3.6 Reflexive self-contradictions that demonstrate the logical necessity of what they deny. 35

6.4 Proof by means of reflexive self-contradiction is an extremely powerful tool for establishing universal axioms—but it requires {substantial, conscientious} due diligence {to get reliably valid results, to avoid many unwitting pitfalls}. 35

6.4.1 Target claims must have extraneous (implicit or explicit) conjunctions pared away. 35

6.4.2 Reflexive proof of axiomatic identity involves denying an axiom to generate a self-contradiction that demonstrates inescapable logical circularity (due to the necessary presupposition of the denied axiom). 35

6.4.3 Preoccupation with finding “logically atomic” axioms can result in missing important axiomatic truths that are {predominantly, most readily} known in composite form. 35

6.5 A preliminary universal axiom hunt—a table of candidate reflexive self-contradictions that indicate presumptive necessary truths. 35

6.6 Systematizing {Necessary, Factual} {Truths and Values} as Universal Value Logic. 39

7. The Universal Axioms—The Supreme Truths of Reality. 40

7.1 Axiom of non-contradiction: there are no contradictions in correctly formulated true facts (of reality). 40

7.1.1 The law of inherently-consistent realism—there are no contradictory facts about the actually existing universe. 40

7.1.2 This is the most anciently-known {eternal and supreme} law of science, and was propounded by Aristotle (384-322 BC), together with “the law of the excluded middle” (another universal axiom)—despite his mistakes and lost works (plus numerous falsely-attributed errors caused by {medieval, renaissance, and early-modern} translators), Aristotle was the first great “Newton of science”. 40

7.2 Axiom of excluded middle (between true and false as logical categories). 40

7.2.1 The law of the “excluded muddle” means there is no intermediate “gray-zone” between contradictories (versus non-contradictory relational opposites). 40

7.2.2 The powerful proof strategy of “reduction to absurdity” critically depends on the law of the excluded middle—especially for {identity proofs, and nonconstructive existence proofs}. 40

7.2.3 The primary intentionality of universal logic (another axiom) circumvents Gödel-type restrictions on using “reduction to absurdity” proofs that depend on {logical system consistency, and logical system completeness}. 40

7.2.4 The biggest ancient issue is application to future events—giving up true time-invariance (another axiom) versus accepting (some arbitrarily-sophisticated form of) determinism. 41

7.2.5 Saying “I don’t know” (when appropriate) is a very important means of avoiding troublesome dilemmas with the law of the excluded middle. 41

7.3 Axiom of subjectively-experientially-existing self and perceptual world. 41

7.3.1 The law of self-existence and trans-self-existence means you exist as a subjective actor within some larger experiential field of existence. 41

7.3.2 This axiom first and foremost pertains to experiential existence—it’s a common error to equate this axiomatic existence with physical existence as such (which is a {secondary, derivative, inferential} categorical notion). 41

7.4 Axiom of self-experiencing and self-transcending perceptual-conceptual consciousness (mental awareness). 41

7.4.1 The law of the personally reflexively conscious knower—you are self-conscious of being an explicitly-conceptually-conscious knower of some sort of world beyond your immediate self. 41

7.4.2 Consciousness is ontologically co-primary with all the other axiomatically primary ontological characteristics—it’s a common error to regard consciousness as such (versus mental tools thereof, such as concepts) as somehow {secondary, derivative, or generated}. 41

7.4.3 Consciousness is ontologically co-primary with causality—due to the extremely fluid and flexible character of our mental experience, it’s a common error to regard consciousness as somehow more arbitrary than the physical realms (versus being fully systematic in various typically-unrecognized ways, including rules of subjective valuation). 41

7.4.4 The “universal field of existence” is somehow essentially mental (in some extremely-primitive sense), and the determinate physical order within it (notably secondarily-inferred from primary subjective experience) is the tangible phenomenological energetic manifestation of causal order—it’s a common “mind projection” error to try to {comprehend, imagine} this {logically, ontologically} ultimately primal substratum in terms our intrinsically inescapably higher-order (reflexively self-organized) realm of perceptual-conceptual experience. 42

7.5 Axiom of everything real manifesting an intrinsically conceptually-intelligible identity. 42

7.6 Axiom of universal axioms being objective factual truths. 42

7.6.1 There are universal axioms of all reality and of all realistic thinking, and are thus supreme reflexive objective invariants. 42

7.7 Axiom of universal logic being primarily intensional (conceptual, versus set-like). 42

7.8 Axiom of universal historically-cumulative (monotonic) time. 42

7.8.1 Expressions such as {“arrow of time”, “dimension of time”, and “linear time”} are mathematically-useful but very ontologically-misleading spatial metaphors. 42

7.8.2 As an absolute logical precondition of realistic comprehension, this axiom makes it “logically moronic” to try deriving the nature of time and “arrow of time” from fundamental physics—{for which, and for example} the one-sided (historical) boundary condition on time is {externally, and realistically} imposed. 42

7.9 Axiom of universal axioms being eternal (time-invariant) truths. 42

7.9.1 There are 2 senses of time-invariance to consider here—relative-to-now statements (tense) and for statements that could be made at any {past, present, future} “now”. 42

7.10 Axiom of universal axioms being the supreme universal objective values. 43

7.10.1 The law of explicit objective moral-logical integrity—you should recognize the universal (person-invariant) axioms as {necessarily-true, ethically-supreme, unconditional} instrumental-objective-values of realistic thinking. 43

7.10.2 This universal value law mandates categorical self-responsible ethical individualism for all intellectually competent members of the human species. 43

7.10.3 The universally-objective scientific-integrity of any social system is a function of {recognizing, accommodating, supporting, encouraging} this universally-supreme personal-moral-integrity imperative by means of coherently-applied basic praxeology (another universal axiom) and thereby maximizing mutually personally-discretionary {social-cooperation, social-exchange}. 43

7.11 Axiom of praxeology—the logically primary role of behaviorally demonstrated concurrent maximum subjective value (personal preference) for realistically analyzing the actions (and implications thereof) of human-cognitive-level beings. 43

7.11.1 This seemingly {simplistic, trivial} universal axiom leads to many profound person-invariant theorems of social-interaction dynamics and is the ultimate foundation of scientifically rigorous (praxeological) economics. 43

7.11.2 Digression: I call the universal axiomatic value law and the universal axiomatic praxeology law the “Great Scientific-Cultural Renaissance” laws, for reasons that will hopefully become seemingly obvious to you by the end of this book. 43

7.12 Axiom of ultimate universal context. 43

7.12.1 The law of total universal-context coherence—the supreme laws of scientific realism apply to the universe as a system. 43

7.13 Axiom of our communicative thinking language being logically-ethically universal. 43

7.13.1 By virtue of mastering our thinking language sufficiently to reflexively comprehend and discuss the universal axioms, we have attained the ultimately-supreme universal-level of value logic. 43

7.13.2 This axiom does not mean our thinking language is presently semantically complete—only that our thinking language is already sufficiently logically universal that its semantic range may be extended indefinitely. 44

7.14 Axiom of full causality—all changes are completely caused and all changes are both causes and effects. 44

7.14.1 The law of complete causality may be regarded as (1) a corollary of the law of identity applied to change, and a (2) a corollary of the law of total universal-context consistency applied to change. 44

7.14.2 Causal characteristics are constitutive aspects of the identity of things. 44

7.14.3 The law of complete causality (universal causal closure) precludes any type of indeterminism (which would amount to impossible “causal gaps” and “identity gaps” in the universe and its universal causal network). 44

7.14.4 Since causation (and all other universal axiomatic laws) is {necessarily, intrinsically} {permanent, time-invariant}, and all changes involve causal processes, the universe is eternal and cannot have been created. 44

7.14.5 Since only the present exists, there is no violation of the law of identity in the universe having always existed—and strictly speaking, we should speak of the indefinitely distant past, not the infinite past. 44

7.14.6 Total universally-{consistent, coherent} causality absolutely requires full causal {closure, coverage}, and this is the ultimate logical basis for the corollary {great, eternal, universal} conservation laws of physics (energy, linear momentum, angular momentum).