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• Boolean algebras canonically defined
  ...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
  46 KB (7,114 words) - 18:24, 2 October 2007
• Logical graph
  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
  41 KB (5,845 words) - 14:26, 6 November 2015
• User:Roygbiv/Graph
  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
  42 KB (5,905 words) - 21:49, 22 May 2010
• Directory:Jon Awbrey/Papers/Differential Analytic Turing Automata
  ...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'
  134 KB (16,535 words) - 15:30, 11 October 2013
• Directory:Jon Awbrey/THEORY
  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
  81 KB (11,851 words) - 22:22, 25 January 2008
• User:Jon Awbrey/THEORY
  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
  81 KB (11,851 words) - 18:53, 20 August 2007
• Directory:Jon Awbrey/VORPALS
  ...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
  177 KB (26,694 words) - 02:20, 15 December 2010
• Philosophy of mathematics
  ...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
  73 KB (10,917 words) - 19:48, 6 September 2017
• Directory:Jon Awbrey/Projects/Peircean Pragmata
  ...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
  105 KB (16,763 words) - 20:36, 26 August 2017
• Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives
  ...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
  226 KB (33,992 words) - 16:22, 29 December 2017
• Directory:Jon Awbrey/TRUTH
  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]],
  237 KB (37,371 words) - 22:14, 25 January 2008
• User:Jon Awbrey/TRUTH
  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]],
  237 KB (37,371 words) - 11:22, 20 August 2007
• Directory:Jon Awbrey/Papers/Propositional Equation Reasoning Systems
  ...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
  157 KB (17,761 words) - 03:44, 10 November 2016
• Charles Sanders Peirce
  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
  93 KB (14,277 words) - 20:00, 28 July 2017
• User:Jon Awbrey/EXIT
  ...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",
  147 KB (23,399 words) - 12:51, 20 August 2007
• User:Jon Awbrey/Mathematical Notes
  | be represented by universal properties of diagrams. | Thus, given X and Y, <p, q> is "universal" among pairs of
  567 KB (86,909 words) - 21:00, 6 December 2016
• Directory:Jon Awbrey/Papers/Cactus Language
  ...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
  211 KB (31,551 words) - 20:44, 2 August 2017
• Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 3.0
  ...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.
  519 KB (74,456 words) - 15:46, 3 October 2013
• User:Jon Awbrey/PROSPECT
  requisite variety, which determines that only variety in the responses of a regulator can counter the flow of variety from disturbances to essential
  162 KB (25,941 words) - 13:28, 9 January 2008
• Differential Logic and Dynamic Systems
  ...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.
  528 KB (75,728 words) - 21:56, 14 January 2021

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