000 | 03222nam a22004577a 4500 | ||
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001 | sulb-eb0026461 | ||
003 | BD-SySUS | ||
005 | 20160413122649.0 | ||
007 | cr nn 008mamaa | ||
008 | 121205s2013 ne | s |||| 0|eng d | ||
020 |
_a9789400753013 _9978-94-007-5301-3 |
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024 | 7 |
_a10.1007/978-94-007-5301-3 _2doi |
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050 | 4 | _aBC1-199 | |
072 | 7 |
_aHPL _2bicssc |
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072 | 7 |
_aPHI011000 _2bisacsh |
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082 | 0 | 4 |
_a160 _223 |
100 | 1 |
_aGeldsetzer, Lutz. _eauthor. |
|
245 | 1 | 0 |
_aLogical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements _h[electronic resource] / _cby Lutz Geldsetzer, Richard L. Schwartz. |
264 | 1 |
_aDordrecht : _bSpringer Netherlands : _bImprint: Springer, _c2013. |
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300 |
_aXLIV, 140 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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520 | _aThis new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences. | ||
650 | 0 | _aPhilosophy. | |
650 | 0 | _aLogic. | |
650 | 0 | _aMathematical logic. | |
650 | 1 | 4 | _aPhilosophy. |
650 | 2 | 4 | _aLogic. |
650 | 2 | 4 | _aMathematical Logic and Formal Languages. |
650 | 2 | 4 | _aMathematical Logic and Foundations. |
700 | 1 |
_aSchwartz, Richard L. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9789400753006 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-94-007-5301-3 |
912 | _aZDB-2-SHU | ||
942 |
_2Dewey Decimal Classification _ceBooks |
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999 |
_c48553 _d48553 |