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Logic and Foundations of Mathematics Commons™
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Full-Text Articles in Logic and Foundations of Mathematics
Counterfactual Conditional Analysis Using The Centipede Game, Ahmed Bilal
Counterfactual Conditional Analysis Using The Centipede Game, Ahmed Bilal
CMC Senior Theses
The Backward Induction strategy for the Centipede Game leads us to a counterfactual reasoning paradox, The Centipede Game paradox. The counterfactual reasoning proving the backward induction strategy for the game appears to rely on the players in the game not choosing that very same backward induction strategy. The paradox is a general paradox that applies to backward induction reasoning in sequential, perfect information games. Therefore, the paradox is not only problematic for the Centipede Game, but it also affects counterfactual reasoning solutions in games similar to the Centipede Game. The Centipede Game is a prime illustration of this paradox in …
The C3 Conditional: A Variably Strict Ordinary-Language Conditional, Monique L. Whitaker
The C3 Conditional: A Variably Strict Ordinary-Language Conditional, Monique L. Whitaker
Dissertations, Theses, and Capstone Projects
In this dissertation I provide a novel logic of the ordinary-language conditional. First, however, I endeavor to make clearer and more precise just what the objects of the study of the conditional are, as a lack of clarity as to what counts as an instance of a given category of conditional has resulted in deep and significant confusions in subsequent analysis. I motivate for a factual/counterfactual distinction, though not at the level of particular instances of the conditional. Instead, I argue that each individual instance of the conditional may be interpreted either factually or counterfactually, rather than these instances dividing …