David Hume at 300

[Philosophy Now]

Howard Darmstadter looks at the life and legacy of the incendiary tercentenarian.

https://philosophynow.org/issues/83/David_Hume_at_300

[janeprasanga]

Hume and his empiricism is desroyed by the dean paradox

Humes "Relation of Ideas" and "Matters of Fact" the same logic is used in both domains that logic is misaligned with reality

No matter how much Hume tries to separate “relations of ideas” (logic/math) from “matters of fact” (empirical reality), the paradox shows that logic is used in both domains, and its results can directly conflict with experience

.As a result, Hume’s empiricism is undermined by the very logic it employs: logic produces paradoxes and constructs (like infinities) that empirical observation cannot confirm or even accommodate. This exposes a fundamental instability in empiricism-its reliance on logic means it inherits all the limitations and contradictions of logic itself

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-see below for the differences between the dean paradox and Zeno-Zeno is about motion being impossible for dean there is motion with the consequence of the dean paradox-calculus summing infinite point to a limit does not solve the ontological problem of motion
We can get
The dean dilemma
Either logic is true and reality false –an illusion
Or
Reality is true and logic is false
BUT WHAT IF BOTH LOGIC AND REALITY ARE TRUE
For the contradiction:
• Logic says: motion is impossible.
• Experience says: motion occurs.
→ Both P and ¬P are true.
Contradiction becomes real.
The Dean Paradox is so devastating because it argues that in the real world (specifically, motion), the contradiction P∧¬P is demonstrably true, where:
• P: Logic says: Motion is impossible.
• ¬P: Experience says: Motion occurs.
This means that both P and ¬P are true, which collapses the foundation of classical logic (the Law of Non-Contradiction).



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

or scribd

https://www.scribd.com/document/8490192 ... sophy-Zeno