Category: Deductive reasoning

Transcendental arguments
A transcendental argument is a deductive philosophical argument which takes a manifest feature of experience as granted, and articulates what must be the case so that such experiences are possible. Tr
Bulverism is a type of ad hominem rhetorical fallacy that combines circular reasoning and the genetic fallacy with presumption or condescension. The method of Bulverism is to "assume that your opponen
Philosophical analysis
Philosophical analysis is any of various techniques, typically used by philosophers in the analytic tradition, in order to "break down" (i.e. analyze) philosophical issues. Arguably the most prominent
Natural deduction
In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning. This contrasts wi
Critical thinking
Critical thinking is the analysis of available facts, evidence, observations, and arguments to form a judgement. The subject is complex; several different definitions exist, which generally include th
Formal fallacy
In philosophy, a formal fallacy, deductive fallacy, logical fallacy or non sequitur (/ˌnɒn ˈsɛkwɪtər/; Latin for "[it] does not follow") is a pattern of reasoning rendered invalid by a flaw in its log
Logical consequence
Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statem
Deductive closure
In mathematical logic, a set of logical formulae is deductively closed if it contains every formula that can be logically deduced from , formally: if always implies . If is a set of formulae, the dedu
Good and necessary consequence
The phrase good and necessary consequence was used more commonly several centuries ago to express the idea which would today fall under the general heading of logic; that is, to reason validly by logi
The mind is the set of faculties responsible for all mental phenomena. Often the term is also identified with the phenomena themselves. These faculties include thought, imagination, memory, will, and
Occam's razor
Occam's razor, Ockham's razor, or Ocham's razor (Latin: novacula Occami), also known as the principle of parsimony or the law of parsimony (Latin: lex parsimoniae), is the problem-solving principle th
Statistical inference
Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability. Inferential statistical analysis infers properties of a population, for ex
Logical reasoning
Two kinds of logical reasoning are often distinguished in addition to formal deduction: induction and abduction. Given a precondition or premise, a conclusion or logical consequence and a rule or mate
Probabilistic argumentation
Probabilistic argumentation refers to different formal frameworks pertaining to probabilistic logic. All share the idea that qualitative aspects can be captured by an underlying logic, while quantitat
Reasoning system
In information technology a reasoning system is a software system that generates conclusions from available knowledge using logical techniques such as deduction and induction. Reasoning systems play a
Deduction theorem
In mathematical logic, a deduction theorem is a metatheorem that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems tha
Argument–deduction–proof distinctions
Argument–deduction–proof distinctions originated with logic itself. Naturally, the terminology evolved.
Validity (logic)
In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. It
Implied powers
In the United States, implied powers are powers that, although not directly stated in the Constitution, are implied to be available based on previously stated powers.
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 ἀξίω
Speculative reason
Speculative reason, sometimes called theoretical reason or pure reason, is theoretical (or logical, deductive) thought, as opposed to practical (active, willing) thought. The distinction between the t
A priori probability
An a priori probability is a probability that is derived purely by deductive reasoning. One way of deriving a priori probabilities is the principle of indifference, which has the character of saying t
Intellectualism is the mental perspective that emphasizes the use, the development, and the exercise of the intellect; and also identifies the life of the mind of the intellectual person. In the field
Deductive reasoning
Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the pre
In logic, more precisely in deductive reasoning, an argument is sound if it is both valid in form and its premises are true. Soundness also has a related meaning in mathematical logic, wherein logical
Turnstile (symbol)
In mathematical logic and computer science the symbol has taken the name turnstile because of its resemblance to a typical turnstile if viewed from above. It is also referred to as tee and is often re