This paper discusses Penelope Maddy＇s （b. 1950） naturalistic philosophy of mathematics, which is one of the most influential forms of post-Quinean naturalism in the philosophy of mathematics. Two defining features ...This paper discusses Penelope Maddy＇s （b. 1950） naturalistic philosophy of mathematics, which is one of the most influential forms of post-Quinean naturalism in the philosophy of mathematics. Two defining features of Maddy＇s theory, namely the methodological autonomy of mathematics and the equivalence of Thin Realism and Arealism, are analyzed, and some criticisms of them are posed from within the naturalistic line of thought itself. In the course of this analysis and criticism, the paper will also consider Maddy＇s objections to the Quinean Indispensability Argument, which are the starting point of her own version of naturalism.展开更多
Although E Maddy （1997） says on naturalism： ＂This is not, in itself, a philosophy of mathematics [...]＂ （161）, already by its name, or by those whose interest has called on it （Quine, Putnam et al.） ... it an...Although E Maddy （1997） says on naturalism： ＂This is not, in itself, a philosophy of mathematics [...]＂ （161）, already by its name, or by those whose interest has called on it （Quine, Putnam et al.） ... it anyhow reveals desire to be it. Insofar as otherwise, the semantic potential of the word leaves far behind it （after all scarce） results it achieved from the relation of an exact （mathematical） expression and （overly rich） intuitive reality of Being. We plead here already from the perspective of the slogan ＂One and All＂ of the first philosopher： Tales, when by the number （which one forebodes） one could go to such an extent into areas of reality （Pythagoras）, or when （especially in the human sphere） is being over again actual final cause of Aristotle the philosophy and the mathematics to accomplish far more fruitful encounter with the Being. Alain Badiou （1988） has already pointed that： ＂Mathematics is ontology,＂ and the category theory in mathematics, having covered by itself other fields of this science, continues to find applications in a series of＂non-traditional＂ domains of reality. In that correlation the philosophy can express its （primary） needs for truth, justice, beauty, ... as well as for the overall development in the sense of purpose--also because of an undreamed power of the technological development （of hardwares and softwares） today. Namely, the naturalism in mathematics, which developed an abundant reflection on the place （importance of） the mathematical idiom in sciences--in the balance of criticism--has come rather to meager provisions, such as： ＂preestablished harmony of thinking,＂ ＂ontic commitment,＂ （Quine 1960） ＂the hygiene of mind,＂ （Maddy 1996） ＂success argument,＂ （Putnam 1975） ＂pragmatic argument,＂ （Resnik 1981） etc., which only are few places from the encounter of an exact expression such as is mathematical one and the reality of natuural sciences. Instead of philosophy of ma展开更多
This paper presents the results of an experimental deprivation study conducted with 64 participants. All participants had to do without mobile phone, internet and TV for 15 days each. The main research objective was t...This paper presents the results of an experimental deprivation study conducted with 64 participants. All participants had to do without mobile phone, internet and TV for 15 days each. The main research objective was to examine the differences of indispensability levels and experiences during these non-usage phases. Mobile phones turned out to be most indispensable followed by Internet. Involvement of the medium into daily routine is an important part of short-term indispensability and will be dealt with in detail in this paper.展开更多
文摘This paper discusses Penelope Maddy＇s （b. 1950） naturalistic philosophy of mathematics, which is one of the most influential forms of post-Quinean naturalism in the philosophy of mathematics. Two defining features of Maddy＇s theory, namely the methodological autonomy of mathematics and the equivalence of Thin Realism and Arealism, are analyzed, and some criticisms of them are posed from within the naturalistic line of thought itself. In the course of this analysis and criticism, the paper will also consider Maddy＇s objections to the Quinean Indispensability Argument, which are the starting point of her own version of naturalism.
文摘Although E Maddy （1997） says on naturalism： ＂This is not, in itself, a philosophy of mathematics [...]＂ （161）, already by its name, or by those whose interest has called on it （Quine, Putnam et al.） ... it anyhow reveals desire to be it. Insofar as otherwise, the semantic potential of the word leaves far behind it （after all scarce） results it achieved from the relation of an exact （mathematical） expression and （overly rich） intuitive reality of Being. We plead here already from the perspective of the slogan ＂One and All＂ of the first philosopher： Tales, when by the number （which one forebodes） one could go to such an extent into areas of reality （Pythagoras）, or when （especially in the human sphere） is being over again actual final cause of Aristotle the philosophy and the mathematics to accomplish far more fruitful encounter with the Being. Alain Badiou （1988） has already pointed that： ＂Mathematics is ontology,＂ and the category theory in mathematics, having covered by itself other fields of this science, continues to find applications in a series of＂non-traditional＂ domains of reality. In that correlation the philosophy can express its （primary） needs for truth, justice, beauty, ... as well as for the overall development in the sense of purpose--also because of an undreamed power of the technological development （of hardwares and softwares） today. Namely, the naturalism in mathematics, which developed an abundant reflection on the place （importance of） the mathematical idiom in sciences--in the balance of criticism--has come rather to meager provisions, such as： ＂preestablished harmony of thinking,＂ ＂ontic commitment,＂ （Quine 1960） ＂the hygiene of mind,＂ （Maddy 1996） ＂success argument,＂ （Putnam 1975） ＂pragmatic argument,＂ （Resnik 1981） etc., which only are few places from the encounter of an exact expression such as is mathematical one and the reality of natuural sciences. Instead of philosophy of ma
文摘This paper presents the results of an experimental deprivation study conducted with 64 participants. All participants had to do without mobile phone, internet and TV for 15 days each. The main research objective was to examine the differences of indispensability levels and experiences during these non-usage phases. Mobile phones turned out to be most indispensable followed by Internet. Involvement of the medium into daily routine is an important part of short-term indispensability and will be dealt with in detail in this paper.
