Leibniz’s Argument Against Infinite Number
In: History of Philosophy & Logical AnalysisSearch for other papers by Filippo Costantini in
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This paper deals with Leibniz’s well-known reductio argument against the infinite number. I will show that while the argument is in itself valid, the assumption that Leibniz reduces to absurdity does not play a relevant role. The last paragraph of the paper reformulates the whole Leibnizian argument in plural terms (i.e. by means of a plural logic) to show that it is possible to derive the contradiction that Leibniz uses in his argument even in the absence of the premise that he refutes.
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| All Time | Past 365 days | Past 30 Days | |
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Leibniz’s Argument Against Infinite Number
In: History of Philosophy & Logical AnalysisSearch for other papers by Filippo Costantini in
Current site
Google Scholar
PubMed
This paper deals with Leibniz’s well-known reductio argument against the infinite number. I will show that while the argument is in itself valid, the assumption that Leibniz reduces to absurdity does not play a relevant role. The last paragraph of the paper reformulates the whole Leibnizian argument in plural terms (i.e. by means of a plural logic) to show that it is possible to derive the contradiction that Leibniz uses in his argument even in the absence of the premise that he refutes.
| All Time | Past 365 days | Past 30 Days | |
|---|---|---|---|
| Abstract Views | 589 | 84 | 20 |
| Full Text Views | 60 | 2 | 0 |
| PDF Views & Downloads | 66 | 2 | 0 |
