“the philosophy of arithmetic of the Tractatus ¦ as a kind of logicism” (Frascolla, 1994, 37). From Wordnik.com. [Wittgenstein's Philosophy of Mathematics] Reference
PFO alone does not have sufficient expressive power to accommodate the needs of neo-logicism. From Wordnik.com. [Plural Quantification] Reference
Thus a new form of logicism was born; today this view is known as neo-logicism (Hale & Wright 2001). From Wordnik.com. [Philosophy of Mathematics] Reference
The slide towards this sort of formalist attitude to axioms can also be traced through Frege's logicism. From Wordnik.com. [Non-Deductive Methods in Mathematics] Reference
Following the logicism of Frege and Russell, the Circle considered logic and mathematics to be analytic in nature. From Wordnik.com. [Vienna Circle] Reference
Fregean logicism is just one way in which this template can be developed; some other ways will be mentioned below. From Wordnik.com. [Platonism in the Philosophy of Mathematics] Reference
A more extended reflection on them seems called for, however, especially a reflection on Dedekind's “logicism” and. From Wordnik.com. [Dedekind's Contributions to the Foundations of Mathematics] Reference
And he shows more awareness of the challenge posed by Kroneckerian computational and constructivist strictures to logicism. From Wordnik.com. [Dedekind's Contributions to the Foundations of Mathematics] Reference
Tarski also showed new perspectives for logicism by defining logical concepts as invariants under one-to-one transformations. From Wordnik.com. [Lvov-Warsaw School] Reference
This attitude allowed him to accommodate various ideas coming from rival foundational directions, that is, logicism, formalism and intuitionism. From Wordnik.com. [Lvov-Warsaw School] Reference
In the first decades of the twentieth century, three non-platonistic accounts of mathematics were developed: logicism, formalism, and intuitionism. From Wordnik.com. [Philosophy of Mathematics] Reference
This logic will not presuppose the subjectivist Bayesian theory of belief and decision, and will avoid the objectionable features of Bayesian logicism. From Wordnik.com. [Inductive Logic] Reference
Of equal significance during this period was Russell's defense of logicism, the theory that mathematics was in some important sense reducible to logic. From Wordnik.com. [Bertrand Russell] Reference
In a parallel with the above remarks on rehabilitating logicism, Meyer argued that these arithmetical theories provide the basis for a revived Hilbert Program. From Wordnik.com. [Inconsistent Mathematics] Reference
Still, accepting analyticity as a semantic notion is itself unproblematic (and Carnap was aware that his reconstruction of arithmetic was not standard logicism). From Wordnik.com. [Vienna Circle] Reference
His most influential contributions include his defense of logicism (the view that mathematics is in some important sense reducible to logic), and his theories of definite descriptions and logical atomism. From Wordnik.com. [Bertrand Russell] Reference
It should also be noted that Brady's construction of naive set theory opens the door to a revival of Frege-Russell logicism, which was widely held, even by Frege himself, to have been badly damaged by the Russell Paradox. From Wordnik.com. [Inconsistent Mathematics] Reference
A crucial facet of the problem faced by Bayesian logicism involves how the logic is supposed to apply to scientific contexts where the conclusion sentence is some hypothesis or theory, and the premises are evidence claims. From Wordnik.com. [Inductive Logic] Reference
Russell's paradox, his defense of logicism (the view that mathematics is, in some significant sense, reducible to formal logic), his development of the theory of types, and his refining of the first-order predicate calculus. From Wordnik.com. [Bertrand Russell] Reference
First defended in his 1901 article "Recent Work on the Principles of Mathematics," and then later in greater detail in his Principles of Mathematics and in Principia Mathematica, Russell's logicism consisted of two main theses. From Wordnik.com. [Bertrand Russell] Reference
Pragmatism's injunction to abandon metaphysics might then be thought of as setting the stage for the radically different idioms of Heidegger's ontology and Carnap's logicism, or what is sometimes called the Continental/analytic divide. From Wordnik.com. [enowning] Reference
Third, Principia Mathematica reaffirmed clear and interesting connections between logicism and two main branches of traditional philosophy, namely metaphysics and epistemology, thus initiating new and interesting work in both these and other areas. From Wordnik.com. [Principia Mathematica] Reference
A principled demarcation of logical constants might offer an answer to this question, thereby clarifying what is at stake in philosophical controversies for which it matters what counts as logic (for example, logicism and structuralism in the philosophy of mathematics). From Wordnik.com. [Logical Constants] Reference
Kant, Immanuel | logical constants | logical positivism | logical truth | logicism | meaning, theories of | metaphysics | naturalism | operationalism | phenomenology |. From Wordnik.com. [The Analytic/Synthetic Distinction] Reference
Gödel, Kurt | knowledge: by acquaintance vs. description | logic: classical | logical atomism: Russell's | logical constructions | logicism | mathematics, philosophy of |. From Wordnik.com. [Bertrand Russell] Reference
“politicism,” “logicism,” “poeticism,” and “historicism” depending on the emphasis within the philosophy. From Wordnik.com. [HISTORICISM] Reference
It is now generally held that the core idea of Bayesian logicism is fatally flawed ” that syntactic logical structure cannot be the sole determiner of the degree to which premises inductively support conclusions. From Wordnik.com. [Inductive Logic] Reference
And as Dedekind's work was better known than Frege's at the time, perhaps because of his greater reputation as a mathematician, he was seen as the main representative of “logicism” by interested contemporaries, such as Charles Sanders Peirce and Ernst Schröder (Ferreirós 1999, ch. From Wordnik.com. [Dedekind's Contributions to the Foundations of Mathematics] Reference
Kuhn, Thomas | logicism |. From Wordnik.com. [Vienna Circle] Reference
The LeÅniewski project is a version of logicism. From Wordnik.com. [Lvov-Warsaw School] Reference
Frege, Gottlob | logic: classical | logicism |. From Wordnik.com. [Alfred North Whitehead] Reference
1994, 37), which shows that ˜the label “no-classes logicism” tallies with the Tractatus view of arithmetic™ (Frascolla 1998, 133; 1997, 354). From Wordnik.com. [Wittgenstein's Philosophy of Mathematics] Reference
Ernst Zermelo logicism. From Wordnik.com. [Everything2 New Writeups] Reference
Ebert, Philip and Rossberg, Marcus, 2007, “What is the purpose of neo-logicism?”. From Wordnik.com. [Platonism in the Philosophy of Mathematics] Reference
LearnThatWord and the Open Dictionary of English are programs by LearnThat Foundation, a 501(c)3 nonprofit.
Questions? Feedback? We want to hear from you!
Email us
or click here for instant support.
Copyright © 2005 and after - LearnThat Foundation. Patents pending.

