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  1. Journal of Philosophical Logic
  2. Journal of Philosophical Logic : Volume 36
  3. Journal of Philosophical Logic : Volume 36, Issue 5, October 2007
  4. Cardinality and Identity
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Journal of Philosophical Logic : Volume 46
Journal of Philosophical Logic : Volume 45
Journal of Philosophical Logic : Volume 44
Journal of Philosophical Logic : Volume 43
Journal of Philosophical Logic : Volume 42
Journal of Philosophical Logic : Volume 41
Journal of Philosophical Logic : Volume 40
Journal of Philosophical Logic : Volume 39
Journal of Philosophical Logic : Volume 38
Journal of Philosophical Logic : Volume 37
Journal of Philosophical Logic : Volume 36
Journal of Philosophical Logic : Volume 36, Issue 6, December 2007
Journal of Philosophical Logic : Volume 36, Issue 5, October 2007
On Fork Arrow Logic and its Expressive Power
The Logic of Theory Assessment
Cardinality and Identity
$$ LE^{t}_{ \to } $$ , $$LR^{ \circ }_{{\widehat{ \sim }}}$$ , LK and Cutfree Proofs
A Two Dimensional Tense-modal Sortal Logic
ON PRIMA FACIE OBLIGATIONS AND NONMONOTONICITY
Journal of Philosophical Logic : Volume 36, Issue 4, August 2007
Journal of Philosophical Logic : Volume 36, Issue 3, June 2007
Journal of Philosophical Logic : Volume 36, Issue 2, April 2007
Journal of Philosophical Logic : Volume 36, Issue 1, February 2007
Journal of Philosophical Logic : Volume 35
Journal of Philosophical Logic : Volume 34
Journal of Philosophical Logic : Volume 33
Journal of Philosophical Logic : Volume 32
Journal of Philosophical Logic : Volume 31
Journal of Philosophical Logic : Volume 30
Journal of Philosophical Logic : Volume 29
Journal of Philosophical Logic : Volume 28
Journal of Philosophical Logic : Volume 27
Journal of Philosophical Logic : Volume 26

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Cardinality and Identity

Content Provider Springer Nature Link
Author Carrara, Massimilia Sacchi, Elisabetta
Copyright Year 2007
Abstract P.T. Geach has maintained (see, e.g., Geach (1967/1968)) that identity (as well as dissimilarity) is always relative to a general term. According to him, the notion of absolute identity has to be abandoned and replaced by a multiplicity of relative identity relations for which Leibniz’s Law – which says that if two objects are identical they have the same properties – does not hold. For Geach relative identity is at least as good as Frege’s cardinality thesis – which he takes to be strictly connected with relative identity – according to which an ascription of cardinality is always relative to a concept which specifies what, in any particular case, counts as a unit. The idea that there is a close connection between relative identity and Frege’s cardinality thesis has been issued again quite recently by Alston and Bennett in (1984). In their opinion, Frege’s cardinality thesis is not only similar to relative identity – as Geach maintains – but it implies it. Moreover, they agree with Geach in claiming that a commitment to Frege’s cardinality thesis forces a parallel commitment to relative identity. Against Geach, Alston and Bennett we will claim that (T1): «Frege’s cardinality thesis is similar to relative identity» is false and that therefore (T2) «Frege’s cardinality thesis implies relative identity» is false as well.
Starting Page 539
Ending Page 556
Page Count 18
File Format PDF
ISSN 00223611
Journal Journal of Philosophical Logic
Volume Number 36
Issue Number 5
e-ISSN 15730433
Language English
Publisher Springer Netherlands
Publisher Date 2007-04-18
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword ascription of cardinality Frege’s cardinality thesis Leibniz’s law identity Logic
Content Type Text
Resource Type Article
Subject Philosophy
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