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...tics)|groups]], and linear algebra with [[vector spaces]], so does Boolean algebra treat [[Boolean algebras]] as the models of the equational theory of two va ...t-theoretic foundations of mathematics, among other applications. Boolean algebra has a rich mathematical theory, though unlike group theory which exhibits c

In the century since Peirce initiated this line of development, a variety of formal systems have branched out from what is abstractly the same formal ...ormalisms whose syntactic structures are isomorphic from the standpoint of algebra or topology are not recognized as being different from each other in any si

In the century since Peirce initiated this line of development, a variety of formal systems have branched out from what is abstractly the same formal ...sms whose syntactic structures are [[isomorphic]] from the standpoint of [[algebra]] or [[topology]] are not recognized as being different from each other in

...the cactus language for the tasks that are usually associated with boolean algebra and propositional calculus makes it possible to entertain a further extensi ...ath>j = 1 ~\mathit{to}~ k.</math>'' Expressions of this form are called ''universal partition'' expressions, and the corresponding ''painted and rooted cactus'

Beyond this minor note of accord, hardly universal, suggesting that meaning is necessary to truth, reflectors on the idea of t The variety of attitudes that a proposer can bear toward a single proposition is a crit

Beyond this minor note of accord, hardly universal, suggesting that meaning is necessary to truth, reflectors on the idea of t The variety of attitudes that a proposer can bear toward a single proposition is a crit

...xperience of counting discrete objects. It is held that mathematics is not universal and does not exist in any real sense, other than in human brains. Humans co ...c basis of [[set theory]], which has been taken for granted by many as the universal medium for mathematical inquiry. In mathematics as in physics, however, th

...ions is, as [[Hilary Putnam]] sketches a common view of it, "the very wide variety of equivalent formulations that they possess", by which he does not mean th ...xperience of counting discrete objects. It is held that mathematics is not universal and does not exist in any real sense, other than in human brains. Humans c

...may be and is naturally regarded as also a determination of an idea of the Universal mind; a preëxistent, archetypal Idea. Arithmetic, the law of number, ''w ...c'' in general gives a trivium consisting of Universal Grammar, Logic, and Universal Rhetoric, using this last term to signify the science of the formal conditi

...implications for logic can be smoothed by paraphrasing his notations in a variety of contemporary mathematical formalisms, while preserving the semantics as ...tical transitions from several different angles and calling attention to a variety of puzzles, problems, and potentials that are not so often remarked or tapp

The variety of attitudes that a proposer can bear toward a single proposition is a crit ...ations, logical or mathematical symbols, etc., and also may include a wide variety of meaningful combinations or clusters of signs. [[Analytic philosophy]],

The variety of attitudes that a proposer can bear toward a single proposition is a crit ...ations, logical or mathematical symbols, etc., and also may include a wide variety of meaningful combinations or clusters of signs. [[Analytic philosophy]],

...lgebra, posted as a [http://mathoverflow.net/questions/9292/newbie-boolean-algebra-question problem for proof] at [http://mathoverflow.net/ MathOverFlow]. ...athbb{B}.\!</math> The region <math>W \subseteq X\!</math> is called by a variety of names in different settings, for example, the ''antecedent'', the ''fibe

How often do we think of the thing in algebra? When we use the symbol of multiplication we do not even think out the con

...nnot be trumped by other policies or by editors' consensus, even a genuine universal consensus of local editors. ...ement of people", that it is "a criterion of truth" to wit, "that which is universal among men carries the weight of truth". When I wikied "consensus gentium",

| be represented by universal properties of diagrams. | Thus, given X and Y, <p, q> is "universal" among pairs of

...bsp;2. One way of carrying out this strategy leads on to a grammar of the variety that will be articulated next. ...ermediate significance condition, one must be prepared to consider a wider variety of calling contexts or inciting situations that can be noted to surround ea

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

requisite variety, which determines that only variety in the responses of a regulator can counter the flow of variety from disturbances to essential

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, it will be avoided here.

...s any mathematician with a sensitivity to the ring and field properties of algebra would do: ...disadvantage of cutting or confounding the lines of communication between algebra and logic. For this reason, I am forced to avoid it here.

...that only variety in the responses of a regulator can counter the flow of variety from disturbances to essential variables, the qualities the system must act ...gnated properties. Relative to this frame, a system can be said to have a variety of objective properties. An observer may be taken as a standard for no goo

Let me return to Peirce's early papers on the algebra of relatives to pick up the conventions that he used there, and then rewrit It is common in algebra to switch around between different conventions of display, as the momentary

| [A Boolian Algebra With One Constant] | [A Boolian Algebra With One Constant] (cont.)

...istinct ways that the word ''system'' is used in this work, reflecting the variety of approaches, aspects, or perspectives that present themselves in dealing ...icit and otherwise hidden features of its object. This section presents a variety of these ''analytic intensional representations'' (AIRs) for the sign relat

involves representing problematic phenomena in a variety of formal systems of intelligent agents in terms of a variety of formal systems:

Let me return to Peirce's early papers on the algebra of relatives It is common in algebra to switch around

[17:35] <legoktm> So just store it in a universal way �06[21:41] * MJ94 gives the universal sup nod to legoktm and wolfgang42