The sociology of "truth"
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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
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http://gamahucherpress.yellowgum.com/wp ... aradox.pdf• •
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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 f* all about sociology-so go look it up
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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 logicDean'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 systemBlowing the Cover Off Mathematics
http://gamahucherpress.yellowgum.com/wp ... matics.pdfor
scribd
https://www.scribd.com/document/8980557 ... s-infinity
