ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

1

Unknown

Numbers and Everything (2013)

Santos, G.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: I begin by drawing a parallel between the intuitionistic understanding of quantification over all natural numbers and the generality relativist understanding of quantification over absolutely everything. I then argue that adoption of an intuitionistic reading of relativism not only provides an immediate reply to the absolutist's charge of incoherence but it also throws a new light on the debates surrounding absolute generality.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

2

Unknown

Dianoia Left and Right (2013)

Pollard, S.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: In Plato's Phaedrus , Socrates offers two speeches, the first portraying madness as mere disease, the second celebrating madness as divine inspiration. Each speech is correct, says Socrates, though neither is complete. The two kinds of madness are like the left and right sides of a living body: no account that focuses on just one half can be adequate. In a recent paper, Hugh Benson gives a left-handed speech about a psychic condition endemic among mathematicians: dianoia . Benson acknowledges that his account is one-sided, but only hints at the virtues of right-handed dianoia . This note sketches a somewhat fuller picture.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

3

Unknown

On the Application of the Honeycomb Conjecture to the Bee's Honeycomb (2013)

Raz, T.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: In a recent paper, Aidan Lyon and Mark Colyvan have proposed an explanation of the structure of the bee's honeycomb based on the mathematical Honeycomb Conjecture. This explanation has instantly become one of the standard examples in the philosophical debate on mathematical explanations of physical phenomena. In this critical note, I argue that the explanation is not scientifically adequate. The reason for this is that the explanation fails to do justice to the essentially three-dimensional structure of the bee's honeycomb.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

4

Unknown

Hilary Putnam's Consistency Objection against Wittgenstein's Conventionalism in Mathematics (2013)

Garavaso, P.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: Hilary Putnam first published the consistency objection against Ludwig Wittgenstein’s account of mathematics in 1979. In 1983, Putnam and Benacerraf raised this objection against all conventionalist accounts of mathematics. I discuss the 1979 version and the scenario argument, which supports the key premise of the objection. The wide applicability of this objection is not apparent; I thus raise it against an imaginary axiomatic theory T similar to Peano arithmetic in all relevant aspects. I argue that a conventionalist can explain the consistency of T and suggest that an analogous explanation can be provided for the consistency of Peano arithmetic.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

5

Unknown

Deconstructing a Topological Sorites (2013)

Rizza, D.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: In this paper I examine some difficulties with the argument presented as a topological sorites in Z. Weber and M. Colyvan, ‘A topological sorites’, Journal of Philosophy 107, 311–325. In particular, I suggest that the argument may be used to support the claim that sorites-type paradoxes cannot arise in a cohesive environment.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

6

Unknown

PENELOPE MADDY. Defending the Axioms: On the Philosophical Foundations of Set Theory. Oxford: Oxford University Press, 2011. ISBN 978-0-19-959618-8 (hbk); 978-0-19-967148-9 (pbk). Pp. x + 150 (2013)

Mc; Larty, C.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

7

Unknown

SEBASTIEN GANDON. Russell's Unknown Logicism: A Study in the History and Philosophy of Mathematics. New York: Palgrave Macmillan, 2012. ISBN 978-0-230-57699-5. Pp. xiv + 266 (2013)

Urquhart, A.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

8

Unknown

BERNARD LINSKY. The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge: Cambridge University Press, 2011. ISBN 978-1-107-00327-9. Pp. vii + 407 (2013)

Griffin, N.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

PAPER CURRENT

S·F·X

Fulltext

9

Unknown

That We See That Some Diagrammatic Proofs Are Perfectly Rigorous (2013)

Azzouni, J.

Oxford University Press

In: Philosophia Mathematica

add to mindlist on the mindlist

Details

Publication Date: 2013-10-02

Description: Mistaken reasons for thinking diagrammatic proofs aren't rigorous are explored. The main result is that a confusion between the contents of a proof procedure (what's expressed by the referential elements in a proof procedure) and the unarticulated mathematical aspects of a proof procedure (how that proof procedure is enabled) gives the impression that diagrammatic proofs are less rigorous than language proofs. An additional (and independent) factor is treating the impossibility of naturally generalizing a diagrammatic proof procedure as an indication of lack of rigor.

Print ISSN: 0031-8019

Electronic ISSN: 1744-6406

Topics: Mathematics , Philosophy

Published by Oxford University Press

Permalink