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...ath> in the '''parameter set''' <math>\Alpha\!</math> is an indexed family of operators <math>(\Omega_\alpha)_\Alpha = \{ \Omega_\alpha : \alpha \in \Alp * [[Universe of discourse]] ...

...' with ''parameter'' <math>k\!</math> in the set <math>\mathbb{N}\!</math> of non-negative integers. ...math> left tacit, as the appropriate application is implicit in the number of operands listed. Thus <math>\Omega (x_1, \ldots, x_k)\!</math> may be take ...

...f two propositions, that produces a value of ''false'' if and only if both of its operands are false. The [[truth table]] of <math>p ~\operatorname{OR}~ q,</math> also written <math>p \lor q,\!</math> ...

...al values, typically the values of two propositions, that produces a value of ''true'' if and only if both operands are false or both operands are true. The [[truth table]] of <math>p ~\operatorname{EQ}~ q,</math> also written <math>p = q,\!</math> <m ...

...other words, it produces a value of ''false'' if and only if at least one of its operands is true. The [[truth table]] of <math>p ~\operatorname{NNOR}~ q,</math> also written <math>p \curlywedge q, ...

...n other words, it produces a value of ''true'' if and only if at least one of its operands is false. The [[truth table]] of <math>p ~\operatorname{NAND}~ q,</math> also written <math>p \stackrel{\cir ...

...o propositions, that produces a value of ''true'' just in case exactly one of its operands is true. The [[truth table]] of <math>p~\text{XOR}~q</math> , also written <math>p+q</math> or <math>p\ne q ...

...n, that produces a value of ''true'' when its operand is false and a value of ''false'' when its operand is true. The [[truth table]] of <math>\operatorname{NOT}~ p,</math> also written <math>\lnot p,\!</math> ap ...

==History== Here is Peirce's own statement and proof of the law: ...

This is a contributed topic entry on the axiomatic foundations of mathematics. ===Axiomatic Theories and Categorical Foundations of Mathematical Physics and Mathematics=== ...

...cation'', ''reification'', and ''subjectal abstraction''.&nbsp; The object of discussion or thought thus introduced is termed a ''[[hypostatic object]]'' ...into an extra subject, upping the ''arity'', also called the ''adicity'', of the main predicate in the process. ...

This is a new topic on the [[../CoIntersections/|algebraic]] foundations of mathematics. ...algebraic structures]]} rather than the study of specific cases, or models of algebraic structures. ...

The concept of '''logical implication''' encompasses a specific logical function, a specif ...concept of logical implication are expressed in ordinary language by means of linguistic forms like the following: ...

...importance for axiomatic approaches to many areas of science besides those of mathematics and metamathematics , such as: general [[../NewtonianMechanics/ A ''metalogic'' is a meta-theory of various [[../Bijective/|types]] of logic. ...

...s <math>\{ \operatorname{false}, \operatorname{true} \}.</math> The names of the logical values, or ''truth values'', are commonly abbreviated in accord ...all representation of truth functions as boolean functions. The remainder of this article assumes the usual representation, taking the equations <math>\ ...

...the base of the [[w:International System of Units|SI International System of Units]]. As [[w:Planck units |Planck units]] these would constitute [[w:Pla ...her [sic] <ref>Lloyd, G. E. R. (1968), Aristotle: The Growth and Structure of his Thought, Cambridge: Cambridge Univ. Pr., pp. 133–139, {{ISBN|0-521-0945 ...

...of a piece of fabric of small hooks that sticks to a corresponding fabric of small loops. ...ke part of a Velcro strip. When you touch something, you sense the contact of the Shells. ...

...ion (mathematics)|polyadic or finitary relation]], one in which the number of places in the relation is three. In other language that is often used, a t ...Therefore it will be useful to consider a few concrete examples from each of these two realms. ...

...unity not only to use the software but also build on the existing versions of the software and add e.g. features for the community needs. ...en Source software for special needs e.g. * in research for an application of learning analytics or ...

==Purpose of this wikiresearch== ...alues, processes, channels and other key aspects in communities and groups of open source development.''''' ...