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book chapter · Explore Bristol Research · 2021

Formal Methods

Richard G Pettigrew

Cited by 0Abstract and details only

Abstract

In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such as Hilbert’s programme and Gödel’s incompleteness theorems; social choice theory, with examples such as Condorcet’s paradox and Arrow’s theorem; ‘how possibly’ results, with examples such as Condorcet’s jury theorem and recent work on intersectionality theory; and the application of advanced mathematics in philosophy, with examples such as accuracy-first epistemology.

Cite this paper

APA 7

Pettigrew, R. G. (2021). Formal Methods. Explore Bristol Research.

MLA 9

Pettigrew, Richard G. “Formal Methods.” Explore Bristol Research, 2021.

Chicago

Pettigrew, Richard G. 2021. “Formal Methods.” Explore Bristol Research.

Harvard

Pettigrew, R.G. (2021) ‘Formal Methods’, Explore Bristol Research.

BibTeX
@incollection{pettigrew2021formal,
  title = {{Formal Methods}},
  author = {Pettigrew, Richard G},
  booktitle = {Explore Bristol Research},
  year = {2021}
}

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