# Rabbi Hasdai Crescas (1340-1410) on Numerical Infinities

@article{Rabinovitch1970RabbiHC, title={Rabbi Hasdai Crescas (1340-1410) on Numerical Infinities}, author={N. L. Rabinovitch}, journal={Isis}, year={1970}, volume={61}, pages={224 - 230} }

IN EVALUATING GALILEO'S STUDY of the paradoxes of the infinite, Carl Boyer declares that his "role was that of a Moses who led his readers within sight of the promised land, but who could not himself enter it."' The fact that an infinite set is equinumerous with a proper subset of itself is often called Galileo's paradox, because he drew attention to it in his Dialogues Concerning Two New Sciences.2 It is of interest that more than two centuries before Galileo, the promised land was glimpsed… Expand

#### 6 Citations

PHILOSOPHICAL METHOD AND GALILEO'S PARADOX OF INFINITY

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- 2008

We consider an approach to some philosophical problems that I call the Method of Conceptual Articulation: to recognize that a question may lack any determinate answer, and to re-engineer concepts so… Expand

Le libre arbitre dans la pensée de R. Abraham bar Yehudah (élève de Hasdaï Crescas)

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- 2014

The aim of this article is to analyze the opinion of R. Abraham bar Yehudah (Crete and the Crown of Aragon in the second half of the 14 th century) on the question of free will. The first part of the… Expand

MEASURING THE SIZE OF INFINITE COLLECTIONS OF NATURAL NUMBERS: WAS CANTOR’S THEORY OF INFINITE NUMBER INEVITABLE?

- Computer Science, Mathematics
- The Review of Symbolic Logic
- 2009

This article reviewing the contributions of some thinkers who argued in favor of the assignment of different sizes to infinite collections of natural numbers and some recent mathematical developments that generalize the part–whole principle to infinite sets in a coherent fashion show how these new developments are important for a proper evaluation of a number of positions in philosophy of mathematics. Expand

Quantitative relations between infinite sets

- Mathematics
- 1977

Summary Given the old conception of the relation greater than, the proposition that the whole is greater than the part is an immediate consequence. But being greater in this sense is not incompatible… Expand

Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos Analysis: Part 2

- Psychology
- 2005

This is Part 2 of a two-part study of how APOS theory may be used to provide cognitive explanations of how students and mathematicians might think about the concept of infinity. We discuss infinite… Expand