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This is a list of axioms as that term is understood in mathematics. In epistemology , the word axiom is understood differently; see axiom and self-evidence . Individual axioms are almost always part of a larger axiomatic system .
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 fields, including philosophy, theoretical computer science, artificial intelligence, economics, and linguistics.
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.
In epistemology, axiom 4 tends to be accepted by internalists, but not by externalists. [16] Axiom 4 is nevertheless widely accepted by computer scientists (but also by many philosophers, including Plato , Aristotle , Saint Augustine , Spinoza and Schopenhauer , as Hintikka recalls ).
Epistemology is the branch of philosophy that examines the nature, origin, and limits of knowledge.Also called theory of knowledge, it explores different types of knowledge, such as propositional knowledge about facts, practical knowledge in the form of skills, and knowledge by acquaintance as a familiarity through experience.
In Reformed epistemology, beliefs are held to be properly basic if they are reasonable and consistent with a sensible world view. Anti-foundationalism rejects foundationalism and denies there is some fundamental belief or principle which is the basic ground or foundation of inquiry and knowledge.
Epistemology (aka theory of knowledge) – branch of philosophy concerned with knowledge. [1] The term was introduced into English by the Scottish philosopher James Frederick Ferrier (1808–1864). [ 2 ]
A first principle is an axiom that cannot be deduced from any other within that system. The classic example is that of Euclid's Elements ; its hundreds of geometric propositions can be deduced from a set of definitions, postulates, and common notions: all three types constitute first principles.