Synthese

Logic and mathematical reasoning

Vol. 134 (1-2)

Carlos Alvarez, Marco Panza (ed)

Table of Contents
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1-2
Introduction

Alvarez Carlos; Panza Marco

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3-24
Do mathematical constructions escape logic?

Gardies Jean-Louis

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25-44
Mathematical reasoning vs. abductive reasoning

Aliseda Atocha

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45-69
Intentional gaps in mathematical proofs

Fallis Don

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71-84
Randomization, persuasiveness and rigor in proofs

Womach Catherine; Farach Matrin

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85-117
Proofs and programs

Longo Giuseppe

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119-158
Mathematical proofs

Panza Marco

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159-180
Representational innovation and mathematical ontology

Muntersbjorn Madeline M.

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181-216
Does mathematics have objects? in what sense?

Otte Michael

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217-244
Physical-mathematical reasoning

Finocchiaro Maurice A.

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245-272
Fréchet and the logic of the constitution of abstract spaces from concrete reality

Arboleda Luis Carlos; Recalde Luis Cornelio

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273-288
Styles of physical thinking versus mathematical ones

Lacki Jan

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289-323
Two ways of reasoning and two ways of arguing in geometry

Alvarez Carlos

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325-351
Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis

Lutz Robert

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