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Review: The Philosophy of Mathematics: An Introductory EssayUser Review - Erickson - Goodreads
Too difficult for me to understand at the moment. Most likely due to lack of understanding on the schools of thought namely intuitionism, logicism, formalism, etc. Will read this again after I know more about the pertinent issues. Read full review
Review: The Philosophy of Mathematics: An Introductory EssayUser Review - Adam - Goodreads
A relatively clear survey of the major historical views in the philosophy of mathematics. The end, however, delivers the author's own attempt at answering the major questions, which is unclear and develops a formalism that seems not particularly interesting or helpful. Read full review
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actual inﬁnities altemative analysis antinomies apple applied mathematics arguments assert axioms brieﬂy Brouwer cardinal number Cauchy sequence classical mathematics concemed consistency construction deduced deﬁned deﬁnition diﬁerent elementary arithmetic empirical concepts entities Euclidean Euclidean geometry exact and inexact example existential exists experience false ﬁeld ﬁgures ﬁnal ﬁnd ﬁnite ﬁnite methods ﬁrst formal system formalist Frege geometry Hilbert ideal imply incompatible inexact concepts inﬁnite inﬁnite totalities instances integers intemally inexact intuition intuitionism intuitionist mathematics justiﬁed Kant Kant‘s Leibniz logical relations logicist mathe mathematical concepts mathematical theories mathematicians matics means metamathematics natural numbers negative candidate neutral candidates non-empirical one-one correspondence particular perceptual characteristics perceptual objects philosophy of mathematics physical Plato positive candidate possible postulates principle priori programme pure and applied pure mathematics purely exact rational numbers real numbers regarded rules goveming satisﬁed self-evident sense statements stroke subject-matter suﬂicient symbols tion transﬁnite true truth truth-function
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