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Do Numbers Exist?: A Debate about Abstract Objects - 1st Edition - Pet
Do Numbers Exist? A Debate about Abstract Objects

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2025.06.4 : View this Review Online | View Recent NDPR Reviews

Peter van Inwagen and William Lane Craig, Do Numbers Exist? A Debate about Abstract Objects, with a Foreword by Mark Balaguer, Routledge 2024, 275pp., $35.95 (pbk), ISBN 9780367442767.

Reviewed by Reviewed by Crispin Wright, University of Stirling

This exchange is published in the Routledge series, Little Debates about Big Questions. Routledge characterises the intent of the series as comprising “Short, lively and accessible debates. . .[showcasing] diverse and deep answers. Pedagogical features include standard form arguments, section summaries, bolded key terms and principles, glossaries, and annotated reading lists.”

Readers should accordingly be advised that this book actually offers not a “little debate” but a ramified exchange over some 275 pages, comprising three phases: an extended opening statement by each protagonist, a first round of replies by each, and then a second round of replies to the replies. With Mark Balaguer’s useful twenty page Foreword, the book as a whole exceeds 300 quite densely argued pages.

“Lively” it certainly is. But I would be…

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