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From rudimentary to classical logic

Penelope Maddy

in Second Philosophy: A Naturalistic Method

Published in print:
2007
Published Online:
January 2009
ISBN:
9780199273669
eISBN:
9780191706264
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199273669.003.0021
Subject:
Philosophy, Logic/Philosophy of Mathematics

Rudimentary logic falls short of classical logic in a number of ways. To bridge the gap, the Second Philosopher follows Frege and imposes a number of restrictions and idealizations: she treats only ... More


Undoing the Copernican revolution 1

Penelope Maddy

in Second Philosophy: A Naturalistic Method

Published in print:
2007
Published Online:
January 2009
ISBN:
9780199273669
eISBN:
9780191706264
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199273669.003.0017
Subject:
Philosophy, Logic/Philosophy of Mathematics

Kant's two-level scheme allows him to say two things at once: speaking empirically, logic is objectively true (empirically real) because of the structure of the world (e.g., because it's made up of ... More


The logical structure of the world

Penelope Maddy

in Second Philosophy: A Naturalistic Method

Published in print:
2007
Published Online:
January 2009
ISBN:
9780199273669
eISBN:
9780191706264
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199273669.003.0018
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter argues that ordinary physical objects stand in relations, with ground-consequent dependencies, and that these objects and relations admit of vague boundaries — all as in an abstract ... More


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