Theoria 2 (2):575-582 (1987)
|Abstract||The philosolphy of strict finitism is a research programme containing developmental theory and mathematics as its main branches. The first branch is concerned with the ontogenetic and historicaldevelopment of various concepts of infinity. The frame work is Jean Piaget’s genetic epistemology. Based upon these develop mental studies, the mathematical branch introduces a new concept of infinity into mathematics. Cantor propagated the actual infinite, Brouwer and the constructivists the potential infinite. Still more radical is strict finitism, favoring the natural infinite, i.e. the phenomena of the unsurveyable, unfeasible, unreachable. There exist by this time strict finitistic reconstructions for arithmetic, geometry, calculus, and even for infinitistic set theory|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Jeremy Gwiazda (2012). On Infinite Number and Distance. Constructivist Foundations 7 (2):126-130.
Crispin Wright (1982). Strict Finitism. Synthese 51 (2):203 - 282.
Charles F. Kielkopf (1970). Strict Finitism. The Hague,Mouton.
Samuel William Mitchell (1992). Dummett's Intuitionism is Not Strict Finitism. Synthese 90 (3):437 - 458.
Ofra Magidor (2012). Strict Finitism and the Happy Sorites. Journal of Philosophical Logic 41 (2):471-491.
Ofra Magidor (2007). Strict Finitism Refuted? Proceedings of the Aristotelian Society 107 (1pt3):403-411.
Manuel Bremer (2007). Varieties of Finitism. Metaphysica 8 (2):131-148.
J. P. Bendegem (2012). A Defense of Strict Finitism. Constructivist Foundations 7 (2):141-149.
Claudio Cerrato (1994). Natural Deduction Based Upon Strict Implication for Normal Modal Logics. Notre Dame Journal of Formal Logic 35 (4):471-495.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #274,982 of 549,196 )
Recent downloads (6 months)1 ( #63,397 of 549,196 )
How can I increase my downloads?