Definition & Betydelse | Engelska ordet LOGICISM

Definition av LOGICISM

1. logicism

Exempel på hur man kan använda LOGICISM i en mening

• Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt to reduce the whole of mathematics to logic (see logicism).
• Dedekind's path to logicism had a turning point when he was able to construct a model satisfying the axioms characterizing the real numbers using certain sets of rational numbers.
• With the benefit of hindsight, we can see that Couturat was in broad agreement with the logicism of Russell, while Poincaré anticipated Brouwer's intuitionism.
• The concept of logical objectivism or anti-psychologism was further developed by Johannes Rehmke (founder of Greifswald objectivism) and Gottlob Frege (founder of logicism the most famous anti-psychologist in the philosophy of mathematics), and has been the center of an important debate in early phenomenology and analytical philosophy.
• Unlike Rickert, he was sympathetic to Gottlob Frege's logicism (which Rickert had rejected on the old-fashioned Kantian grounds that logic was analytic, mathematics synthetic), and was conciliatory toward the Marburg neo-Kantians' belief in the unity of logic and mathematics.
• In such reference, Hjelmslevian "formalism" is closer to Husserlian logicism than game formalism because semantics constitutes one the two fundamental planes of his notion of language.
• It contrasts with nominalism, fictionalism, and logicism in holding that mathematics is not about mere names or methods of inference or calculation but about certain real aspects of the world.

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