Sean Donahue - Academia.edu (original) (raw)
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The thesis that one's beliefs ought not conflict with the rules of probability, also known as pro... more The thesis that one's beliefs ought not conflict with the rules of probability, also known as probabilism, is under pressure from potential counter-examples concerning self-referential statements of belief. In the following essay I will increase this pressure by constructing a novel example of self-referential statements with the following properties: Not only is an agent
A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration... more A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is more often than not a way of making sure that our minds are not playing tricks."
The thesis that one's beliefs ought not conflict with the rules of probability, also known as pro... more The thesis that one's beliefs ought not conflict with the rules of probability, also known as probabilism, is under pressure from potential counter-examples concerning self-referential statements of belief. In the following essay I will increase this pressure by constructing a novel example of self-referential statements with the following properties: Not only is an agent
A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration... more A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is more often than not a way of making sure that our minds are not playing tricks."