Modal logic: A modal logic was originally designed to describe the logical relations of modal notions. The list of the notions includes metaphysical modalities (necessities, possibilities, etc.), epistemic modalities (knowledge, belief, etc.), temporal modalities (future, past, etc.), and deontic modalities (obligation, permission ... [100%] 2023-02-03
Modal logic: The domain of logic in which along with the usual statements modal statements are considered, that is, statements of the type "it is necessary that …" , "it is possible that …" , etc. In mathematical logic various formal systems of modal logic have ... (Mathematics) [100%] 2023-10-13
Modal logic: Modal logic is a kind of logic used to represent statements about necessity and possibility. It plays a major role in a philosophy and related fields as a tool for understanding concepts such as knowledge, obligation, and causation. (Type of formal logic) [100%] 2023-12-23 [Logic] [Modal logic]...
Modal logic: Modal logic is a kind of logic used to represent statements about necessity and possibility. It plays a major role in philosophy and related fields as a tool for understanding concepts such as knowledge, obligation, and causation. (Type of formal logic) [100%] 2024-08-23 [Logic] [Modal logic]...
Modal Logic: A modal is an expression (like ‘necessarily’ or ‘possibly’) that is used to qualify the truth of a judgement. Modal logic is, strictly speaking, the study of the deductive behavior of the expressions ‘it is necessary that’ and ‘it is ... (Philosophy) [100%] 2022-07-23
Dynamic logic (modal logic): In logic, philosophy, and theoretical computer science, dynamic logic is an extension of modal logic capable of encoding properties of computer programs. A simple example of a statement in dynamic logic is which states that if the ground is currently ... (Modal logic) [83%] 2022-09-24 [Modal logic] [Logic in computer science]...
Epistemic modal logic: Epistemic modal logic is a subfield of modal logic that is concerned with reasoning about knowledge. While epistemology has a long philosophical tradition dating back to Ancient Greece , epistemic logic is a much more recent development with applications in many ... [81%] 2023-01-07 [Modal logic] [Artificial intelligence]...
Regular modal logic: In modal logic, a regular modal logic is a modal logic containing (as axiom or theorem) the duality of the modal operators: \displaystyle{ \Diamond A \leftrightarrow \lnot\Box\lnot A }[/math] and closed under the rule \displaystyle{ \frac{(A\land ... (Philosophy) [81%] 2023-09-16 [Logic] [Modal logic]...
S5 (modal logic): In logic and philosophy, S5 is one of five systems of modal logic proposed by Clarence Irving Lewis and Cooper Harold Langford in their 1932 book Symbolic Logic. It is a normal modal logic, and one of the oldest systems ... (Philosophy) [81%] 2023-09-24 [Modal logic]
Normal modal logic: In logic, a normal modal logic is a set L of modal formulas such that L contains: and it is closed under: The smallest logic satisfying the above conditions is called K. Most modal logics commonly used nowadays (in terms ... (Philosophy) [81%] 2023-09-16 [Modal logic]
Classical modal logic: In modal logic, a classical modal logic L is any modal logic containing (as axiom or theorem) the duality of the modal operators that is also closed under the rule Alternatively, one can give a dual definition of L by ... (Philosophy) [81%] 2023-11-26 [Modal logic]
Regular modal logic: In modal logic, a regular modal logic is a modal logic containing (as axiom or theorem) the duality of the modal operators: ◊ A ↔ ¬ ◻ ¬ A {\displaystyle \Diamond A\leftrightarrow \lnot \Box \lnot A} and closed under the rule ( A ∧ B ) → C ... [81%] 2025-04-04 [Logic] [Modal logic]...
Non-normal modal logic: A non-normal modal logic is a variant of modal logic that deviates from the basic principles of normal modal logics. Normal modal logics adhere to the K axiom ( ◻ ( p → q ) → ◻ p → ◻ q {\displaystyle \Box (p\to q)\to \Box ... (A less restrictive form of modal logic) [70%] 2023-12-25 [Modal logic] [Semantics]...
Modern Origins of Modal Logic: Modal logic can be viewed broadly as the logic of different sorts of modalities, or modes of truth: alethic (“necessarily”), epistemic (“it is known that”), deontic (“it ought to be the case that”), or temporal (“it is always the case ... (Philosophy) [63%] 2022-07-23
Philosophical Aspects of Multi-Modal Logic: Here is what I consider one of the biggest mistakes of all in modal logic: concentration on a system with just one modal operator. The only way to have any philosophically significant results in deontic logic or epistemic logic is ... (Philosophy) [57%] 2022-01-15
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