On Propositions

  • Lutz Geldsetzer
  • Richard L. Schwartz
Chapter

Abstract

Propositional assertions as the store of knowledge, which may be true, false or both at once 41 – Mathematical equations are definitions lacking truth-values 41 – So-called particular and individual propositions are also definitions lacking truth-values 41 – Only proposition-forming connectors can properly join concepts or expressions to form propositions 42 – Propositional truth-values appear plainly in the pyramid: Truth and falsity as flowing from the regular as opposed to the irregular use or reading of the connectors within the pyramid 42 – Contradictory propositions are simultaneously true and false 42 – The logical tradition - that they are “logically or analytically or a priori” false - is itself false 42 – In paradoxical propositions truth and falsity are fused and reciprocally dependent 43 – Alternative and disjunctive propositions are likewise simultaneously true and false, not “logically or analytically or a priori” true, as the tradition holds 43 – On assertions and probable propositions and their relation to truth and falsity 46 – Logical probability is generally considered as a third truth value. In fact, it has the structure of a contradiction, combining truth and falsity 45 – It combines true general knowledge with specific ignorance about instances 45 – The logical structure of the mathematical probability 45 – But its contradictory structure is neglected thereby: Even the “most probable” or the “least probable” will either occur or not 46 – “Fuzzy logic” as a kind of probability-logic 46

Keywords

Fuzzy Logic Predicate Expression Contentful Application Alternative Proposition Predicate Concept 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Lutz Geldsetzer
    • 1
  • Richard L. Schwartz
    • 2
  1. 1.DüsseldorfGermany
  2. 2.New York CityUSA

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