Category Archives: Phil. of maths

“Multiversism and Concepts of Set” revisited

A month ago I posted here a link to an interesting paper here by Neil Barton. There’s now a discussion exchange, which it would be a pity to leave buried unread in comments on an old posting: so here it is. From Rowsety Moid. … Continue reading

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“Multiversism and Concepts of Set”

An interesting paper here by Neil Barton.

Posted in Phil. of maths | 2 Comments

Encore #16: Weir’s formalism

One of the books which I blogged about at length here was Alan Weir’s Truth Through Proof (OUP, 2010). I found this difficult and puzzling, but also enjoyable to battle with (not least because Alan responded in comments at length). … Continue reading

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Encore #15: Maddy, realism and arealism

Continuing the rather random selection of reposts, as the blog’s tenth birthday approaches, here’s a post from 2011 on a fascinating book by Maddy:  Thin Realism, Arealism, and other Big Ideas (May 30, 2011) Penelope Maddy’s recent Defending the Axioms is my sort of … Continue reading

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Structure and categoricity

‘Structure and Categoricity: Determinacy of Reference and Truth-Value in the Philosophy of Mathematics’ by Tim Button and Sean Walsh has been posted on academia.edu. The paper nicely organizes the various options in a very clear and revealing way, and throws light on a number of … Continue reading

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Encore #13: Tasks for philosophers of mathematics?

Here again is one of my very first blog-posts, musing about what philosophers of mathematics with my cast of mind might usefully get up to … Tired of ontology? (May 13, 2006) It requires a certain kind of philosophical temperament — … Continue reading

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Encore #10: Parsons on intuition

Just yesterday, Brian Leiter posted the results of one of his entertaining/instructive online polls, this time on the “Best Anglophone and German Kant scholars  since 1945“. Not really my scene at all. Though I did, back in the day, really love … Continue reading

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Encore #9: Parsons on noneliminative structuralism

I could post a few more encores from my often rather rude blog posts about Murray and Rea’s Introduction to the Philosophy of Religion. But perhaps it would be better for our souls to to an altogether more serious book … Continue reading

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Encore #6: Gödel vs Turing

And from the same collection of articles, a link to a paper that I (for once!) unreservedly praised and agreed with. Church’s Thesis 13: Gödel on Turing (June 14, 2007) Phew! At last, I can warmly recommend another paper in … Continue reading

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Encore #5: Church’s Thesis and open texture

At various times, I have blogged a series of posts as I read through a book, often en route to writing a review. One of first books to get this treatment was  the collection of articles Church’s Thesis After 70 Years edited by Adam … Continue reading

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