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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
Revision as of 21:36, 29 August 2012
, 21:36, 29 August 2012→6.19. Examples of Self-Reference: markup
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<p>Although it is possible to present this MON in a way that dispenses with blanks and commas, the more expansive language laid out here turns out to have capacities that are useful beyond this immediate context.</p>
<p>Although it is possible to present this MON in a way that dispenses with blanks and commas, the more expansive language laid out here turns out to have capacities that are useful beyond this immediate context.</p></li>
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<p>Reflection principles in propositional calculus. Many statements about the order are also statements in the order. Many statements in the order are already statements about the order.</p></li>
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<p>Next, I consider a class of POSRs that turns up in group theory. [Variant] The next class of POSRs I want to discuss is one that arises in group theory.</p></li></ol>
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Although it is seldom recognized, a similar form of self-reference appears in the study of "group representations", and more generally, in the study of homomorphic representations of any mathematical structure. In particular, this type of ESR arises from the "regular representation" of a group in terms of its action on itself, that is, in the collection of effects that each element has on the all the individual elements of the group.
Although it is seldom recognized, a similar form of self-reference appears in the study of "group representations", and more generally, in the study of homomorphic representations of any mathematical structure. In particular, this type of ESR arises from the "regular representation" of a group in terms of its action on itself, that is, in the collection of effects that each element has on the all the individual elements of the group.