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Why Mathematical Solutions of Zeno’s Paradoxes Miss The Point: Zeno’s One and Many Relation and Parmenides’ Prohibition
parmenides, zeno, mathematics, infinitesimals, infinity, eleatics, zeno's arrow, stadium, achilles, indeterminate forms
2011/9/8
MATHEMATICAL RESOLUTIONS OF ZENO’s PARADOXES of motion have been offered on a regular basis since the paradoxes were first formulated. In this paper I will argue that such mathematical “solutions” mis...
``No one has ever touched Zeno without refuting him''. We will not refute Zeno in this paper. Instead we review some unexpected encounters of Zeno with modern science. The paper begins with a brief bi...
A brief explanation of the heuristic value of paradoxes as well as a critique of Mr. Lynds's argument by reductio ad absurdam.
Zeno's Paradoxes. A Cardinal Problem. 1. On Zenonian Plurality
Zeno's paradoxes cardinality continuum hypothesis
2008/4/15
In this paper the claim that Zeno's paradoxes have been solved is contested. Although "no one has ever touched Zeno without refuting him" (Whitehead), it will be our aim to show that, whatever it was ...
A Zenonian supertask involving an infinite number of identical colliding balls is generalized to include balls with different masses. Under the restriction that the total mass of all the balls is fini...
Why Mathematical Solutions of Zeno’s Paradoxes Miss The Point: Zeno’s One and Many Relation and Parmenides’Prohibition
parmenides zeno mathematics infinitesimals infinity eleatics
2008/3/31
MATHEMATICAL RESOLUTIONS OF ZENO’s PARADOXES of motion have been offered on a regular basis since the paradoxes were first formulated. In this paper I will argue that such mathematical “solutions” mis...
Zeno of Elea's motion and infinity paradoxes, excluding the Stadium, are stated (1), commented on (2), and their historical proposed solutions then discussed (3). Their correct solution, based on rece...
A Critique of Recent Claims of a Solution to Zeno’s Paradoxes
Zeno's Paradoxes Time Indeterminacy Discontinuity Classical Mechanics
2008/3/31
In a recently published paper it is concluded that there is a necessary trade off of all precisely determined physical values at a time for their continuity in time. This conclusion was based on the p...
Zeno's Paradoxes: A Timely Solution
Time, Zeno's Paradoxes, Zeno of Elea, Classical Mechanics, Quantum Mechanics, Indeterminacy, Discontinuity, Motion
2011/9/8
Zeno of Elea's motion and infinity paradoxes, excluding the Stadium, are stated (1), commented on (2), and their historical proposed solutions then discussed (3). Their correct solution, based on rece...
A Critique of Recent Claims of a Solution to Zeno’s Paradoxes
Zeno's Paradoxes Time Indeterminacy Discontinuity Classical Mechanics Cosmology Philosophy of Science
2011/9/7
In a recently published paper it is concluded that there is a necessary trade off of all precisely determined physical values at a time for their continuity in time. This conclusion was based on the p...
A Critique of Recent Claims of a Solution to Zeno’s Paradoxes
Zeno's Paradoxes, Time, Indeterminacy, Discontinuity, Classical Mechanics, Cosmology, Philosophy of Science
2011/9/7
In a recently published paper it is concluded that there is a necessary trade off of all precisely determined physical values at a time for their continuity in time. This conclusion was based on the p...