Mikhail G Katz
Biographic Data
| ID | 1695747 |
|---|---|
| NAME | Mikhail G Katz |
| GIVEN NAMES | Mikhail G |
| FAMILY NAME | Katz |
| SIGNATURE | KATZ M G |
| AFFILIATIONS | Bar-Ilan University |
| ORCID | 0000-0002-3489-0158 |
| VERIFIED | Yes |
| TOTAL WORKS | 3 |
| TOTAL CITATIONS | 0 |
| AUTHOR COUNT | 3 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 2011 |
| LATEST PUBLICATION YEAR | 2026 |
| H-INDEX | 0 |
Formalism 25
Abraham Robinson’s philosophical stance has been the subject of several recent studies. Erhardt following Gaifman claims that Robinson was a finitist, and that there is a tension between his philosophical position and his actual mathematical output. We present evidence in Robinson’s writing that he is more accurately described as adhering to the philosophical approach of Formalism. Furthermore, we show that Robinson explicitly argued against cert…
Of pashas, popes, and indivisibles
Argument The studies of Bonaventura Cavalieri’s indivisibles by Giusti, Andersen, Mancosu and others provide a comprehensive picture of Cavalieri’s mathematics, as well as of the mathematical objections to it as formulated by Paul Guldin and other critics. Issues that have been studied in less detail concern the theological underpinnings of the contemporary debate over indivisibles, its historical roots, the geopolitical situation at the time, an…
Meaning in Classical Mathematics
We examine the classical/ intuitionist divide, and how it reflects on modern theories of infinitesimals. When leading intuitionist Heyting announced that “ the creation of non-standard analysis is a standard model of important mathematical research”, he was fully aware that he was breaking ranks with Brouwer. Was Errett Bishop faithful to either Kronecker or Brouwer ? Through a comparative textual analysis of three of Bishop’s texts, we analyze t…
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Meaning in Classical Mathematics
We examine the classical/ intuitionist divide, and how it reflects on modern theories of infinitesimals. When leading intuitionist Heyting announced that “ the creation of non-standard analysis is a standard model of important mathematical research”, he was fully aware that he was breaking ranks with Brouwer. Was Errett Bishop faithful to either Kronecker or Brouwer ? Through a comparative textual analysis of three of Bishop’s texts, we analyze t…
Of pashas, popes, and indivisibles
Argument The studies of Bonaventura Cavalieri’s indivisibles by Giusti, Andersen, Mancosu and others provide a comprehensive picture of Cavalieri’s mathematics, as well as of the mathematical objections to it as formulated by Paul Guldin and other critics. Issues that have been studied in less detail concern the theological underpinnings of the contemporary debate over indivisibles, its historical roots, the geopolitical situation at the time, an…
Formalism 25
Abraham Robinson’s philosophical stance has been the subject of several recent studies. Erhardt following Gaifman claims that Robinson was a finitist, and that there is a tension between his philosophical position and his actual mathematical output. We present evidence in Robinson’s writing that he is more accurately described as adhering to the philosophical approach of Formalism. Furthermore, we show that Robinson explicitly argued against cert…
History and Theory of Mathematics (3 works) · Mathematical and Theoretical Analysis (2 works) · Philosophy (2 works) · Philosophy (2 works) · Biblical Studies and Interpretation (1 works) · Computer Science (1 works) · Conflation (1 works) · Constructive (1 works) · Context (archaeology (1 works) · Epistemology (1 works)