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)
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. :-)
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!
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”.
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.
[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.
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).