caa a22 4500 397497695 CHVBK 20180308164525.0 cr unu---uuuuu 161202e199505 xx s 000 0 eng 10.1093/philmat/3.2.157 doi (NATIONALLICENCE)oxford-10.1093/philmat/3.2.157 ADDIS MARK Department of Philosophy, University of Leeds Leeds LS2 9JT, England phl5mra@east-01.novell.Leeds.ac.uk Surveyability and the Sorites Paradox [Elektronische Daten] [MARK ADDIS] Some issues raised by the notion of surveyability and how it is represented mathematically are explored. Wright considers the sense in which the positive integers are surveyable and suggests that their structure will be a weakly finite, but weakly infinite, totality. One way to expose the incoherence of this account is by applying Wittgenstein's distinction between intensional and extensional to it. Criticism of the idea of a surveyable proof shows the notion's lack of clarity. It is suggested that this concept should be replaced by that of a feasible operation, as strict finitism aims to understand the boundaries of legitimate mathematical knowledge. © Oxford University Press Articles nationallicence Philosophia Mathematica Oxford University Press 3/2(1995-05), 157-165 0031-8019 3:2<157 1995 3 philmat https://doi.org/10.1093/philmat/3.2.157 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/philmat/3.2.157 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- ADDIS MARK Department of Philosophy, University of Leeds Leeds LS2 9JT, England phl5mra@east-01.novell.Leeds.ac.uk NATIONALLICENCE 773 0- Philosophia Mathematica Oxford University Press 3/2(1995-05), 157-165 0031-8019 3:2<157 1995 3 philmat Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford