Titlebook: New Waves in Philosophy of Mathematics; Otávio Bueno,?ystein Linnebo Book 2009 Palgrave Macmillan, a division of Macmillan Publishers Limi

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CHASE

Towards a Philosophy of Applied Mathematicsg about what numbers might be. Similarly, the extended debates between platonists and nominalists, and the associated epistemo-logical worries about our knowledge of ordinary mathematics, have little impact on what is usually called “mathematical practice”.

BRIEF

farewell

玉米棒子

New Waves on an Old Beach: Fregean Philosophy of Mathematics Today have never. doubted that there are abstract objects, and I have never doubted that mathematics is about (some of) them. While arguments for the existence of abstract objects are philosophically important, such debates hold little interest for me when my intuitions already fall so strongly on one side.

ABYSS

Reducing Arithmetic to Set Theory in my experience, most philosophers believe that Benacerraf’s article put paid to the reductionist view that numbers are sets (though perhaps not the view that numbers are objects). My chapter will attempt to overturn this orthodoxy.

Offstage

Mathematical Accidents and the End of Explanations have been an important feature of philosophical debates over scientific realism and anti-realism. This has led to a focus on inference to the best explanation and the conditions under which this mode of inference can underpin robust ontological conclusions.

flimsy

2947-6720 osophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic.978-0-230-21943-4978-0-230-24519-8Series ISSN 2947-6720 Series E-ISSN 2947-6739

偉大

Introduction Philosophy of Mathematics: Old and New might expect, a rich and diverse picture emerges. Some broader tendencies can nevertheless be detected: there is increasing attention to the practice, language, and psychology of mathematics, a move to reassess the orthodoxy, as well as inspiration from philosophical logic.