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1
Computability and Logic
This updated edition is also accompanied by a website as well as an instructor's manual.
George S. Boolos, John P. Burgess, Richard C. Jeffrey, 2007
2
How to Prove It: A Structured Approach
Equinumerous Sets In this chapter, we'll discuss a method of comparing the sizes
of infinite sets. Surprisingly, we'll find that, in a sense, infinity comes in different
sizes! By now, you should be fairly proficient at reading and writing proofs, ...
3
Classic Set Theory: For Guided Independent Study
any infinite subset which is equinumerous with neither N nor R was, perhaps, the
most famous one arising from Cantor's work. His continuum hypothesis is that
there is no such subset and its resolution was proposed by Hilbert as one of the ...
4
A Critical Introduction to the Philosophy of Gottlob Frege
With respect to (i), Frege points out60 the following: The statement 'The extension
of the concept "equinumerous to the concept F" is the same as the extension of
the concept "equinumerous to the concept G'" is true if and only if the statement ...
Professor Guillermo E Rosado Haddock, 2012
5
Understanding Mathematics
We say that two sets A and B are "equinumerous" (or of the same cardinality) if
there is a map f.A^B which is one-to-one and onto, i.e., a bijection. One sees that
if A and B are equinumerous and the sets B and C are equinumerous, then so
are ...
On our definition, what has to be shown is that the extension of the concept “
equinumerous with the concept F” is the same as the extension of the concept “
equinumerous with the concept G”, if the concept F is equinumerous with the
concept ...
1.5. FINITE. AND. INFINITE. SETS. A basic property of a finite set is its size (i.e.,
the number of elements it contains). However, an extension of the notion of size
to infinite sets leads to difficulties. We call two sets A and B equinumerous if ...
8
Philosophy of Mathematics: Selected Readings
Selected Readings Paul Benacerraf, Hilary Putnam. foregoing definition. I define
accordingly: the number which appliesto the concept F is the extension9 of the
concept “equinumerous with the concept F.” 69. That this definition iscorrect will,
...
Paul Benacerraf, Hilary Putnam, 1984
9
Conceptual Roots of Mathematics
If we now express 0, 1, 2, etc. explicitly in terms of L, we obtain the following
explicit definitions: 0 is the set of all sets equinumerous with the null set, L 1 is the
set of all sets equinumerous with {L}, 1 2 3 4 5 6 34 in §9.2–§9.4 and §9.8. 2 is
the ...
10
Numbers, Language, and the Human Mind
brings about a one-to-one correspondence between all their respective elements
(Frege 1884: § 68). With this criterion in hand, he can define a number as a set of
equinumerous sets, that is, as a set of sets with the same cardinality (Frege ...
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equinumerousという用語がどのように使われているかを調べてみましょう。
god save the subjunctive
I think upon examination they would find that these are overlapping but not equinumerous sets. Besides, writers like Byron, Thackeray, and ... «The Brown Daily Herald, 2月 15»
