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If you like sailing and philosophy, this is for you. Perplexing paradoxes, causal conundra and tantalizing thought experiments.
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...
This paper applies the ideas presented in "Time, Euclidean Geometry and Relativity" ID 1290 , to a specific problem in temporal measurement. It is shown that, under very natural assumptions, that if t...
Two aggregation paradoxes in social decision making: the Ostrogorski paradox and the discursive dilemma
Judgment aggregation belief merging belief fusion
2008/4/21
The Ostrogorski paradox and the discursive dilemma are seemingly unrelated paradoxes of aggregation. The former is discussed in traditional social choice theory, while the latter is at the core of the...
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 ...
Collective Decision-Making without Paradoxes: A Fusion Approach
doctrinal paradox judgment aggregation belief fusion
2008/4/10
The combination of individual judgments on logically interconnected propositions into a collective decision on the same propositions is called judgment aggregation. Literature in social choice and pol...
Belief Merging and the Discursive Dilemma: An Argument-Based Account to Paradoxes of Judgment Aggregation
Judgment aggregation discursive dilemma belief merging
2008/4/10
The aggregation of individual judgments on logically interconnected propositions into a collective decision on the same propositions is called judgment aggregation. Literature in social choice and po...
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...