Chancy Modus Ponens

Neth, Sven

doi:10.1093/analys/anz069

Analysis

2019

DOI: 10.1093/analys/anz069

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Chancy Modus Ponens

Sven Neth¹

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2022

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“…The fact that McGee's argument is analyzed as valid in C and as invalid in U is also in accordance with the ambivalence generally felt regarding whether the argument is valid or not. Similar distinctions between the validity of Modus Ponens in certain and uncertain inference are, in different frameworks, defended byNeth (2019) andSantorio (2022).…”

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confidence: 70%

Certain and Uncertain Inference with Trivalent Conditionals

Égré¹,

Rossi²,

Sprenger³

2022

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Research on indicative conditionals usually aims either at determining their truth conditions, or at explaining how we should reason with them and when we can assert them. This paper integrates these semantic and epistemological projects by means of articulating trivalent, truthfunctional truth conditions for indicative conditionals. Based on this framework, we provide a (non-classical) account of the probability of conditionals, and two logics of conditional reasoning: (i) a logic C of inference from certain premises that generalizes deductive reasoning; and (ii) a logic U of inference from uncertain premises that generalizes defeasible reasoning. Both logics are highly attractive in their domain. They provide a unified framework for conditional reasoning, generalize existing theories (e.g., Adams's logic of "reasonable inference") and yield an insightful analysis of the controversies about the validity of Modus Ponens, Import-Export and other principles of conditional logic.

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mentioning

confidence: 70%

Certain and Uncertain Inference with Trivalent Conditionals

Égré¹,

Rossi²,

Sprenger³

2022

Preprint

View full text Add to dashboard Cite

show abstract

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Chancy Modus Ponens

Cited by 1 publication

References 0 publications

Certain and Uncertain Inference with Trivalent Conditionals

Certain and Uncertain Inference with Trivalent Conditionals

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