«THEOREMATIC»に関連する英語の本
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1
Process Pragmatism: Essays on a Quiet Philosophical Revolution
say that corollarial, or "philosophical" reasoning is reasoning with words; while
theorematic, or mathematical reasoning proper, is reasoning with specially
constructed schemata (Peirce CP 4.233). This distinction between corollarial and
...
2
Explanation and Proof in Mathematics: Philosophical and ...
The peculiarity of theorematic reasoning is that it considers something not
implied at all in the conceptions so far gained, which neither the definition of the
object of research nor anything yet known about could of themselves suggest,
although ...
Gila Hanna, Hans Niels Jahnke, Helmut Pulte, 2009
A related idea rests on the fact that proofs of the same theorem may take many
different formsicf. the Desargues exampleiand so a logical parallel to such
psychological ideas will be the following question: After a successful theorematic
proof, ...
Österreichische Ludwig-Wittgenstein-Gesellschaft, 2011
4
Activity and Sign: Grounding Mathematics Education
Following a very late development in Peirce's terminology, I shall discuss them
under the heading of "theoric transformation" and "abstractional theorematic
deduction" respectively. Before this, however, we have to reconstruct Peirce's ...
Michael H.G. Hoffmann, Johannes Lenhard, Falk Seeger, 2005
5
Peirce's Theory of Signs
Very shallow is the prevalent notion that this is something to be avoided' (W6:187
). Later, hypostatization is featured in connection with a distinction Peirce drew
between theorematic and corollarial reasoning. In a failed application of 1902 to
...
6
Abductive Cognition: The Epistemological and Eco-Cognitive ...
3.6.3.1 Theoric Reasoning and Creativity I think the previous considerations
concerning manipulative abduction also hold for Peircean theorematic reasoning
. Let us quote again the important Peirce's passage about theorematic reasoning:
A ...
7
The Rise of Modern Logic: from Leibniz to Frege: from ...
Peirce distinguished several different forms of deduction and induction. As
regards necessary deduction, Peirce made an interesting distinction between two
kinds of necessary reasoning, corollarial and theorematic (or “theoremic”)
reasoning ...
Dov M. Gabbay, John Woods, 2004
8
Charles Peirce's Pragmatic Pluralism
17 Peirce makes a distinction between corollarial reasoning and theorematic
reasoning, contrasting “trivial” corollarial reasoning with theorematic reasoning
as diagrammatic. Diagrammatic or schematic18 reasoning involves the
introduction ...
Sandra B. Rosenthal, 1994
9
Peirce and Value Theory: On Peircian Ethics and Aesthetics
Peirce once affirmed, "My first real discovery about mathematical procedure was
that there are two kinds of necessary reasoning, which I call the Corollarial and
the Theorematic" (NEM 4: 38; see also, Hintikka 1980). Peirce explains
Corollarial ...
10
Interpreting Newton: Critical Essays
A theorematic analysis in Pappus' sense can provide ipso facto a proof (by
reductio ad absurdum) if that which is deduced is the negation of an accepted
principle or a proved theorem. This case apart, both a theorematic and a
problematic ...
Andrew Janiak, Eric Schliesser, 2012
