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• Ordinal number
  Here, we describe the [[mathematics|mathematical]] meaning of '''transfinite ordinal numbers'''. They were introduced by [[ ...th transfinite induction, where transfinite induction extends mathematical induction beyond the finite. Ordinals represent equivalence classes of well ordering
  29 KB (4,819 words) - 16:23, 9 January 2007
• Directory:Jon Awbrey/MATH
  =Mathematical Philosophy (10 Mar 2003)= | logic has become more mathematical and mathematics has
  105 KB (15,875 words) - 22:02, 25 January 2008
• User:Jon Awbrey/MATH
  =Mathematical Philosophy (10 Mar 2003)= | logic has become more mathematical and mathematics has
  105 KB (15,873 words) - 11:53, 20 August 2007
• Directory:Jon Awbrey/VORPALS
  ...henomena]]. As a form of philosophical inquiry, it examines the record of mathematical inquiry and poses questions regarding its aims, its conduct, and its result # What are the sources of mathematical subject matter?
  177 KB (26,694 words) - 02:20, 15 December 2010
• Introduction to Inquiry Driven Systems
  80 bytes (10 words) - 11:56, 6 October 2010
• Philosophy of mathematics
  ...henomena]]. As a form of philosophical inquiry, it examines the record of mathematical inquiry and poses questions regarding its aims, its conduct, and its result # What are the sources of mathematical subject matter?
  73 KB (10,917 words) - 19:48, 6 September 2017
• Directory:Jon Awbrey/Projects/Peircean Pragmata
  <p>Charles Sanders Peirce, &ldquo;The Logic of Science; or, Induction and Hypothesis&rdquo;, [Lowell Lectures of 1866], pp.&nbsp;357&ndash;504 in * ascent, descent, restriction, induction, generalization, prescission, amplification, supposition, determination.
  105 KB (16,763 words) - 20:36, 26 August 2017
• Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 4
  ...atabase searches, through dynamic simulation and statistical reasoning, to mathematical theorem proving. Insofar as these tasks constitute specialized efforts, ea ...of intelligent software systems that support inquiry. Then, I will select mathematical systems theory as an indispensable tool, both for the analysis of inquiry i
  92 KB (15,197 words) - 14:40, 24 August 2017
• Directory:Jon Awbrey/Papers/Introduction to Inquiry Driven Systems
  ...atabase searches, through dynamic simulation and statistical reasoning, to mathematical theorem proving. Insofar as these tasks constitute specialized efforts, ea * Next, I will select mathematical systems theory as an indispensable tool, both for the analysis of inquiry i
  121 KB (16,341 words) - 04:34, 30 October 2015
• Directory:Jon Awbrey/Papers/Functional Logic : Inquiry and Analogy
  | &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Induction or inference ''à&nbsp;particularis'', Induction could have gathered the Rule ''AC'', after a manner of saying that &ldquo;c
  106 KB (13,991 words) - 18:45, 18 March 2020
• User:Jon Awbrey/Examples Of Inquiry
  | [Induction of a Rule] | That it is different with induction another example will show.
  139 KB (16,717 words) - 14:30, 12 September 2017
• User:Jon Awbrey/PEIRCE
  ...tion, on the other hand, is a type of formal object that is treated in the mathematical ''theory of relations''. There is of course an intimate relationship betwe ...stigation of its director, [[Samuel Langley]]. Peirce also did substantial mathematical calculations for Langley's research on powered flight. Hoping to make money
  74 KB (11,616 words) - 23:56, 21 May 2010
• Charles Sanders Peirce
  ...stigation of its director, [[Samuel Langley]]. Peirce also did substantial mathematical calculations for Langley's research on powered flight. Hoping to make money * [[Inductive reasoning|Induction]] from experiential phenomena, or ''[[empiricism]]''.
  93 KB (14,277 words) - 20:00, 28 July 2017
• Logical graph
  ...and seed theorem'' (WAST). The proof is just an exercise in mathematical induction, once a suitable basis is laid down, and it will be left as an exercise for ..., 1976), ''The New Elements of Mathematics by Charles S. Peirce, Volume 4, Mathematical Philosophy'', Mouton, The Hague.
  41 KB (5,845 words) - 14:26, 6 November 2015
• User:Roygbiv/Graph
  ...and seed theorem'' (WAST). The proof is just an exercise in mathematical induction, once a suitable basis is laid down, and it will be left as an exercise for ..., 1976), ''The New Elements of Mathematics by Charles S. Peirce, Volume 4, Mathematical Philosophy'', Mouton, The Hague.
  42 KB (5,905 words) - 21:49, 22 May 2010
• Directory:Jon Awbrey/Papers/Information = Comprehension × Extension
  ...n to doubt is to think. So we cannot give up thinking and the validity of induction must be admitted.</p> ...w the mind is forced by the very nature of inference itself to make use of induction and hypothesis.</p>
  362 KB (47,812 words) - 19:40, 9 November 2016
• Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 3
  ...thesis over a wider subject area can act to prime the pump of mathematical induction all the more generously, and actually increase the power of the recursion. A choice of method cannot be justified by deduction or by induction, at least, not wholly, but involves an element of hypothesis. In ancient t
  138 KB (23,322 words) - 14:50, 4 January 2015
• User:Jon Awbrey/Mathematical Notes
  ; Mathematical Notes : [[User:Jon Awbrey/Mathematical Notes#CAT. Category Theory|CAT. Category Theory]]
  567 KB (86,909 words) - 21:00, 6 December 2016
• Directory:Jon Awbrey/Papers/Futures Of Logical Graphs
  ...a way that will turn out to be not too remote a cousin of its present day mathematical bearing, but also in way that's not unrelated to Peirce's theory of categor An iconic mapping, that gets formalized in mathematical terms as a ''morphism'', is said to be a ''structure-preserving map''. Thi
  168 KB (21,027 words) - 12:41, 6 August 2017
• Directory:Jon Awbrey/Papers/Propositional Equation Reasoning Systems
  ...and seed theorem'' (WAST). The proof is just an exercise in mathematical induction, once a suitable basis is laid down, and it will be left as an exercise for ...6), ''The New Elements of Mathematics by Charles S. Peirce, Volume&nbsp;4, Mathematical Philosophy'', Mouton, The Hague.
  157 KB (17,761 words) - 03:44, 10 November 2016

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