Reductionism in Mathematics: Philosophical Reflections
ثبت نشده
چکیده
Samevatting Teen die agtergronbd van Clouser se tipering van ‘n “re li gious be lief” word allereers gelet op vier alternatiewe benaderings wat hy vermeld. Vervlgens word in die lig van moderne strominge in die wiskudne aandag geskenk aan die merkwaardige invloed wat Kant se “Kritiek van die Suiwere Rede” (1781) op divergerende standpunte in die 20ste eeu gehad het. Die intuisionistiese wiskunde van Brouwer en sy nakome linge het inderdaad ‘n wiskunde geskep wat geen eweknie in die klas sieke wiskunde vind nie. Op ba sis van ‘n kensketsing van die verskille tussen die platonisme en die intuisionisme in die moderne wiskunde word geargumenteer dat die werklikheid waarin ons leef inderdaad on mis kenbaar ‘n getalsen ruimte-kant besit – wat verklaar waarom wis kundiges fnksionele samehange kan ontbloot wat rel e vant is vir ‘n teoretiese verstaan van fisiese dinge en prosesse in die werklikheid. Die verdieptende perspektief wat die refomatoriese wysbegeerte op hierdie problematiek bied word saaklik toegelig aan die hand van die bekende opvatting dat ‘n lyn ‘n versameling punte is.
منابع مشابه
The American Cultural Identity: Philosophical Reflections on the Existing Controversies over its Nature
متن کامل
Philosophical reflections on the pathology of human soul with regard to Sadra view
This paper has studied the pathology of human soul on the basis of Molla Sadra`s view. As is understood from him, the degree of existence in every thing requires its appropriate degree of knowledge. Such being the case, man in relation to Absolute existence is characterized with the poverty and weakness of existence and, consequently, with that of knowledge. Lack of knowledge, therefore, can b...
متن کاملAspects of Mathematical Experience
notions have been important for the internal development of mathematics and for sophisticated applications in the sciences to organize our experience of the world. It seems to me to be absolutely crucial to gain insight into this dual role -to bring into harmony philosophical reflections on mathematics with those on the sciences.
متن کاملThe Drama of Divine Providence: Reflections on the Problem of Evil
This article studies the problem of evil in Abrahamic religions and philosophical traditions, and tries to restate their solutions in a contemporary language. The author aims at affirming traditional Abrahamic approaches to theodicy that preserve divine omnipotence, benevolence, and omniscience, but without denying the reality of evil.
متن کاملPhilosophical Reflections in Transcendental Modernism and Religious Politics
The current article believes that the intrinsic interdependence of modernity, science and secularism is an ideological non-universal interdependence but a hegemonic discourse. This kind of explanation and consideration is built upon a collection of ontological, epistemological, anthropological, methodological and evaluative sources. Based on two laws of "interchangeability of existence and scie...
متن کامل