Annotated bibliography of strict finitism

A Defense of Strict Finitism

> Context • Strict finitism is usually not taken seriously as a possible view on what mathematics is and how it functions. This is due mainly to unfamiliarity with the topic. > Problem • First, it is necessary to present a “decent” history of strict finitism (which is now lacking) and, secondly, to show that common counterarguments against strict finitism can be properly addressed and refuted. ...

Strict Finitism and the Happy Sorites

Call an argument a ‘happy sorites’ if it is a sorites argument with true premises and a false conclusion. It is a striking fact that although most philosophers working on the sorites paradox find it at prima facie highly compelling that the premises of the sorites paradox are true and its conclusion false, few (if any) of the standard theories on the issue ultimately allow for happy sorites arg...

An Annotated Bibliography of the Climate of Sudan an Annotated Bibliography of the Climate of Sudan

A Strictly Finitistic System for Applied Mathematics

This paper reports the technical work in the monograph Strict Finitism and the Logic of Mathematical Applications (available online). The monograph proposes a strictly …nitistic system and then showes that some signi…cant applied mathematics, including the basics of unbounded linear operators on Hilbert space, can be developed within that system. Potential philosophical implications or applicat...

Ating It Points of View or Opinion, Stated Do Not Necessarily Repre

1-. . This document is a partially annotated bibliography of publications of the Learning Research and Development Center of the University of Pittsburgh. The sections of the bibliography are: Publications: 1972 (annotated); Publications: 1971 (annotated); Reprints: 1964-1970 (partially annotated); Working Papers: 1965-1970 (partially annotated); Te6hoical Reports: 1966-1970; Monographs: 1970 (...