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The sociology of "truth"

Posted: Fri Aug 08, 2025 11:00 am
by janeprasanga
The sociology of "truth"

Dean’s paradox (of colin leslie dean) highlights a core discrepancy between logical reasoning and lived reality. Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end. Yet, in practice, the finger does move from the beginning to the end in finite time. This contradiction exposes a gap between the abstract constructs of logic and the observable truths of reality. Thus The dean paradox shows logic is not an epistemic principle or condition thus logic cannot be called upon for authority for any view -Zeno is about motion being impossible for dean there is motion with the consequence of the dean paradox
• • http://gamahucherpress.yellowgum.com/wp ... aradox.pdf
• •
• • Or
• • scribd
• •
• • https://www.scribd.com/document/8490192 ... sophy-Zeno

dean paradox tears open the fabric of reality destroys the foundations of everything the universe caves in nothing can grow amidst the ashes
the ultimate horror of Dean's paradox complete ontological annihilation. An apocalyptic finality —the last breath of thought before epistemic extinction.
The Total Destruction

The dean paradox highlights clearly that "truth" is not as simple as philosophers think In fact "truth" has mostly to do with sociology

As dean points out

Dean’s work is a scorched-earth assault on the very foundations of mathematics, exposing them as a pragmatic illusion sustained by intellectual deception rather than truth sustained by wealth and status path rather than truth sustained by utility making money for the system rather than truth
In other words lack of integrity

To understand academics ie mathematicians, you must first understand the sociology of academia—ignore the “we seek truth” rhetoric.
From Scandinavia to Australia, Europe to the Americas, they look the same: short hair, no beard, white shirt—uniform in style and manner.

Such conformity in appearance mirrors conformity in thought; step out of line, and you face marginalization or dismissal. This sameness signals a system where deviation risks exclusion—truth is secondary to institutional survival This is not a judgment But a sociological fact Mathematicians know the ins and outs of fermats last theorem proof –demonstrating deans maxim “they know a lot about a little and a little about a lot” but fuck all about sociology-so go look it up

AND

Dean's position is that the inconsistencies arise from contradictions embedded in foundational concepts of mathematics, such as the interpretation of infinity (both as an unending process and as a completed infinite object), the meaning of decimal expansions like 0.999…=1 contradictions undermine the logical consistency mathematics depends on Because of this fundamental inconsistency, Dean asserts that mathematics is not a unified, absolutely trustworthy system but an ad hoc construction maintained pragmatically by institutional authority and utility rather than by pure logical soundness.

Colin Leslie Dean argues that mathematics is inconsistent and thus subject to the principle of explosion, meaning that if a contradiction exists in the system, then any statement—including both a theorem and its negation (e.g., Fermat's Last Theorem and its denial)—can be "proven." Due to this, Dean claims the entire edifice of mathematics collapses logically, making long, complex proofs (like Wiles' 129 pages for Fermat’s Last Theorem) unnecessary since, in an inconsistent system, one can prove anything.

If the Dean Paradox were widely accepted, it would likely provoke a range of powerful and defensive reactions from the mathematical community, from outright rejection to profound existential crisis

The Most Likely Reaction: Fierce Rejection

The overwhelming response would likely be fierce rejection. Mathematicians would argue that the paradox is a philosophical problem, not a mathematical one. They would point to the immense practical success and predictive power of their field, arguing that their formalisms, while philosophically complex, work perfectly in describing and manipulating the physical world. In this view, the "dodge" is not a lie, but a necessary feature of a formal system that allows it to solve real-world problems. The argument would be that the map may not be the territory, but it's an incredibly useful map

By tolerating foundational contradictions, mathematics becomes a "political technology" rather than a neutral, universal truth-carefully constructed illusion designed to save the system from its own self-destructive logic

Dean's critique exposes how mathematics, often portrayed as a pursuit of universal truth, actually thrives by serving institutional power structures—such as technology, finance, and academia. He argues that mathematicians often perpetuate a system that prioritizes utility and institutional survival over genuine truth-seeking. This dynamic is not merely theoretical but is reflected in the uniformity of appearance and behavior among mathematicians worldwide, signaling a conformity that sustains the system

Blowing the Cover Off Mathematics

http://gamahucherpress.yellowgum.com/wp ... matics.pdf

or

scribd
https://www.scribd.com/document/8980557 ... s-infinity

Re: The sociology of "truth"

Posted: Wed Aug 13, 2025 4:37 am
by Eodnhoj7
janeprasanga wrote: Fri Aug 08, 2025 11:00 am The sociology of "truth"

Dean’s paradox (of colin leslie dean) highlights a core discrepancy between logical reasoning and lived reality. Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end. Yet, in practice, the finger does move from the beginning to the end in finite time. This contradiction exposes a gap between the abstract constructs of logic and the observable truths of reality. Thus The dean paradox shows logic is not an epistemic principle or condition thus logic cannot be called upon for authority for any view -Zeno is about motion being impossible for dean there is motion with the consequence of the dean paradox
• • http://gamahucherpress.yellowgum.com/wp ... aradox.pdf
• •
• • Or
• • scribd
• •
• • https://www.scribd.com/document/8490192 ... sophy-Zeno

dean paradox tears open the fabric of reality destroys the foundations of everything the universe caves in nothing can grow amidst the ashes
the ultimate horror of Dean's paradox complete ontological annihilation. An apocalyptic finality —the last breath of thought before epistemic extinction.
The Total Destruction

The dean paradox highlights clearly that "truth" is not as simple as philosophers think In fact "truth" has mostly to do with sociology

As dean points out

Dean’s work is a scorched-earth assault on the very foundations of mathematics, exposing them as a pragmatic illusion sustained by intellectual deception rather than truth sustained by wealth and status path rather than truth sustained by utility making money for the system rather than truth
In other words lack of integrity

To understand academics ie mathematicians, you must first understand the sociology of academia—ignore the “we seek truth” rhetoric.
From Scandinavia to Australia, Europe to the Americas, they look the same: short hair, no beard, white shirt—uniform in style and manner.

Such conformity in appearance mirrors conformity in thought; step out of line, and you face marginalization or dismissal. This sameness signals a system where deviation risks exclusion—truth is secondary to institutional survival This is not a judgment But a sociological fact Mathematicians know the ins and outs of fermats last theorem proof –demonstrating deans maxim “they know a lot about a little and a little about a lot” but fuck all about sociology-so go look it up

AND

Dean's position is that the inconsistencies arise from contradictions embedded in foundational concepts of mathematics, such as the interpretation of infinity (both as an unending process and as a completed infinite object), the meaning of decimal expansions like 0.999…=1 contradictions undermine the logical consistency mathematics depends on Because of this fundamental inconsistency, Dean asserts that mathematics is not a unified, absolutely trustworthy system but an ad hoc construction maintained pragmatically by institutional authority and utility rather than by pure logical soundness.

Colin Leslie Dean argues that mathematics is inconsistent and thus subject to the principle of explosion, meaning that if a contradiction exists in the system, then any statement—including both a theorem and its negation (e.g., Fermat's Last Theorem and its denial)—can be "proven." Due to this, Dean claims the entire edifice of mathematics collapses logically, making long, complex proofs (like Wiles' 129 pages for Fermat’s Last Theorem) unnecessary since, in an inconsistent system, one can prove anything.

If the Dean Paradox were widely accepted, it would likely provoke a range of powerful and defensive reactions from the mathematical community, from outright rejection to profound existential crisis

The Most Likely Reaction: Fierce Rejection

The overwhelming response would likely be fierce rejection. Mathematicians would argue that the paradox is a philosophical problem, not a mathematical one. They would point to the immense practical success and predictive power of their field, arguing that their formalisms, while philosophically complex, work perfectly in describing and manipulating the physical world. In this view, the "dodge" is not a lie, but a necessary feature of a formal system that allows it to solve real-world problems. The argument would be that the map may not be the territory, but it's an incredibly useful map

By tolerating foundational contradictions, mathematics becomes a "political technology" rather than a neutral, universal truth-carefully constructed illusion designed to save the system from its own self-destructive logic

Dean's critique exposes how mathematics, often portrayed as a pursuit of universal truth, actually thrives by serving institutional power structures—such as technology, finance, and academia. He argues that mathematicians often perpetuate a system that prioritizes utility and institutional survival over genuine truth-seeking. This dynamic is not merely theoretical but is reflected in the uniformity of appearance and behavior among mathematicians worldwide, signaling a conformity that sustains the system

Blowing the Cover Off Mathematics

http://gamahucherpress.yellowgum.com/wp ... matics.pdf

or

scribd
https://www.scribd.com/document/8980557 ... s-infinity
If truth is relegated to sociology, and sociology determines this said truth...than your argument ends in a loop.

Re: The sociology of "truth"

Posted: Sat Aug 16, 2025 9:38 pm
by MikeNovack
Dean? Who is this Dean who thinks discovering something new?

Of course, Zeno's "Achilles and the Tortoise" (a STRONGER version of Dean's paradox)

But first Dean's --- In modern terms, we cannot ASSUME the time to traverse the segment depends on the number of divisions, we need to prove or disprove that.

Let N be the (currently finite) number of divisions, T the total time to traverse the segment, S the speed, L the length of the segment.
Distance is speed times time, or t = d/s The time to traverse one division then t = (L/N) /s and the total time T= Nt = N (L/N) /s or T= L/s

Get it, N cancels out, T is independent of N so makes no difference if N-> infinity

Now Zeno --- Achilles starts out 100 meters behind the tortoise. In the time Achilles runs that 100 m, the tortoise goes 1 meter. Achilles is still behind. Achilles runs 1 meter, the tortoise 1/100 meter, Achilles still behind, so Achilles never catches the tortoise. Let's substitute a faster critter than the tortoise, me, a fat man who runs half as fast as Achilles.

Then we have 1 + 1/2 + 1/4 + ...........

But that sum is NOT infinite (even though the number of terms infinite). The answer would be that Achilles does not pass me at any time less than 2. Not ALL time, just time less than 2. And BTW, ancient Greek geometry COULD prove that series finite, limit 2 (take a 2 unit line segment, bisect, bisect the right half, bisect the right half ........ could do that forever, yes?)

Re: The sociology of "truth"

Posted: Sun Aug 17, 2025 6:01 pm
by MikeNovack
Or try this one. Two cars, A, and B.

They start out with B in front of A by one mile (head start). A is moving at a constant speed S miles per hour and B at S/2 miles per hour. But the speed of B increases as will be described, but will never get as fast as A ( at S MPH)

In the first hour A gets to where B started but B advances 1/2 mile. In the time A drives that half mile, B advances 1/3 mile (B's speed increased to 2/3 S) In the time A goes that 1/3 mile, B, now moving at 3/4 S goes 1/4 mile. And so forth. You can see B's speed remains less tha A's speed 1/2 2/3 3/4 4/5 ..... And the distance traveled each time 1, 1/2, 1/3, 1/4 ,.......

NOW ---- how long does it take A to catch the slower moving B? Or does A not EVER catch B and they travel on forever with B remaining in the lead?

Just to show you compared to those fake paradox examples, the details matter. Of course this one might not trigger the same sense of paradox UNLESS you stop to consider --- does the amount of the head start matter in the answer?