Plato and the foundations of mathematics | Paper Citation Record

Observation 8da426c6-37e9-4774-8da8-c13963ee16a1 · outbound

This paper cites 3, Handb.

Plato and the foundations of mathematics 3, Handb

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Observation bb3d5959-56ea-45df-8213-c4f2d93c6381 · outbound

This paper cites Pure Appl.

Plato and the foundations of mathematics Pure Appl

Reference 2

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Observation 683bb7f5-2889-4346-8e87-c7df21347e33 · outbound

This paper cites Dialectica.

Plato and the foundations of mathematics Dialectica

Reference 3

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Observation ce39e36e-b359-4479-8dc5-6df416f5b8d0 · outbound

This paper cites Bartle, Nets and ﬁlters in topology , Amer.

Plato and the foundations of mathematics Bartle, Nets and ﬁlters in topology , Amer

Reference 4

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Reference 5

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Observation 8d74d386-acd7-4d15-b3cc-83a27aa81624 · outbound

This paper cites 32, American Mathematical Society, 2001.

Plato and the foundations of mathematics 32, American Mathematical Society, 2001

Reference 6

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Reference 7

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Plato and the foundations of mathematics Unresolved cited work

Reference 8

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Observation c11ee00c-263d-49ef-860a-9d71e2bc1300 · outbound

This paper cites Formal Logic 47 (2006), no.

Plato and the foundations of mathematics Formal Logic 47 (2006), no

Reference 9

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Observation 16228f25-93f0-4201-bab5-ea2bed6e8eff · outbound

This paper cites Libr., vol.

Plato and the foundations of mathematics Libr., vol

Reference 10

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Observation 4bc53f4a-be74-4083-910a-95eb919f3a86 · outbound

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Reference 11

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Observation bc0bfd8c-e08f-491d-96c6-513ee66c77df · outbound

This paper cites 154, Springer, 1995.

Plato and the foundations of mathematics 154, Springer, 1995

Reference 12

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Observation 33a23d9d-4550-4b6f-a935-14b90d03c934 · outbound

This paper cites Brown, Notions of closed subsets of a complete separable metric space in weak subsystems of second-order arithmetic, Logic and computation (Pittsburgh, PA, 1987), Con- temp.

Plato and the foundations of mathematics Brown, Notions of closed subsets of a complete separable metric space in weak subsystems of second-order arithmetic, Logic and computation (Pittsburgh, PA, 1987), Con- temp

Reference 13

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Observation 157ab24d-2af3-479e-a125-847bbd2936bd · outbound

This paper cites Notes Log., vol.

Plato and the foundations of mathematics Notes Log., vol

Reference 14

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Observation dfcd7ccb-e5b8-4e12-bb46-38e72cd475c7 · outbound

This paper cites Burgess, Fixing Frege, Princeton Monographs in Philosophy, Princeton University Press, 2005.

Plato and the foundations of mathematics Burgess, Fixing Frege, Princeton Monographs in Philosophy, Princeton University Press, 2005

Reference 15

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Observation 43c62b24-60a4-4a78-a4b0-ea6d2b6d6c85 · outbound

This paper cites Buss, An introduction to proof theory , Handbook of proof theory, Stud.

Plato and the foundations of mathematics Buss, An introduction to proof theory , Handbook of proof theory, Stud

Reference 16

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Observation d5a67a9e-c680-4c06-9f2d-be288a714c4c · outbound

This paper cites 19 (1895), 1–61.

Plato and the foundations of mathematics 19 (1895), 1–61

Reference 17

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Observation bf4d54f0-7428-4003-af6e-8683928cf23a · outbound

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Plato and the foundations of mathematics Unresolved cited work

Reference 18

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Observation 577a3b45-070e-476c-9210-2d48a516f6b2 · outbound

This paper cites C., 1974), Vol.

Plato and the foundations of mathematics C., 1974), Vol

Reference 19

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Plato and the foundations of mathematics Unresolved cited work

Reference 20

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Plato and the foundations of mathematics Unresolved cited work

Reference 21

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Plato and the foundations of mathematics Unresolved cited work

Reference 22

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Observation a6c14d06-98be-4287-90ca-7ce2e2318c96 · outbound

This paper cites Gierz, K.

Plato and the foundations of mathematics Gierz, K

Reference 23

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Observation 97f50fb9-61a4-4c08-9c29-dac47b443d77 · outbound

This paper cites 93, Cambridge University Press, 2003.

Plato and the foundations of mathematics 93, Cambridge University Press, 2003

Reference 24

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Observation 7178c1d8-f4b4-4f00-a2d0-880bf7796170 · outbound

This paper cites Simpson, Located sets and reverse mathematics, J.

Plato and the foundations of mathematics Simpson, Located sets and reverse mathematics, J

Reference 25

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Observation 35d1f2f3-1459-4329-9ce5-8d8ff3256b2d · outbound

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Plato and the foundations of mathematics Unresolved cited work

Reference 26

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Observation 7f8a2c5e-966d-42a2-95cb-21d95683713f · outbound

This paper cites I , in: From Frege to G¨ odel.

Plato and the foundations of mathematics I , in: From Frege to G¨ odel

Reference 27

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Observation 5b2261b0-6036-4939-b52b-27e28136d644 · outbound

This paper cites 22, Cambridge University Press, 2013.

Plato and the foundations of mathematics 22, Cambridge University Press, 2013

Reference 28

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Observation c1d336f7-00f1-4202-b90a-324c0906d4cd · outbound

This paper cites Graves, The Theory of Functions of Real Variables , McGraw-Hill, 1946.

Plato and the foundations of mathematics Graves, The Theory of Functions of Real Variables , McGraw-Hill, 1946

Reference 29

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Observation 0a5169bf-8f3c-475d-a77e-14f6ec0a2a4c · outbound

This paper cites 1876, Springer, 2006.

Plato and the foundations of mathematics 1876, Springer, 2006

Reference 30

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Plato and the foundations of mathematics Unresolved cited work

Reference 31

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Plato and the foundations of mathematics Unresolved cited work

Reference 32

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Observation 1fec88a2-3106-4450-90d2-ec40913c0841 · outbound

This paper cites I , Zweite Auﬂage.

Plato and the foundations of mathematics I , Zweite Auﬂage

Reference 33

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This paper cites II , Zweite Auﬂage.

Plato and the foundations of mathematics II , Zweite Auﬂage

Reference 34

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Observation 140934e8-4837-481b-856e-4a3d7fcad518 · outbound

This paper cites Hirschfeldt, Slicing the truth , Lecture Notes Series, Institute for Mathematical Sci- ences, National University of Singapore, vol.

Plato and the foundations of mathematics Hirschfeldt, Slicing the truth , Lecture Notes Series, Institute for Mathematical Sci- ences, National University of Singapore, vol

Reference 35

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This paper cites Thesis (Ph.D.)–The University of Wisconsin - Madison.

Plato and the foundations of mathematics Thesis (Ph.D.)–The University of Wisconsin - Madison

Reference 36

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Reference 37

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Reference 38

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This paper cites Kelley, General topology, Springer-Verlag, 1975.

Plato and the foundations of mathematics Kelley, General topology, Springer-Verlag, 1975

Reference 39

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Observation c46e48af-c42d-42b4-bd45-def6d24f8efb · outbound

This paper cites https://plato.stanford.edu/archives/spr2014/entries/ large-cardinals-determinacy/.

Plato and the foundations of mathematics https://plato.stanford.edu/archives/spr2014/entries/ large-cardinals-determinacy/

Reference 40

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Observation a832dd44-61d0-4e25-9d82-c1ac98bda532 · outbound

This paper cites Notes Log., vol.

Plato and the foundations of mathematics Notes Log., vol

Reference 41

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This paper cites Notes Log., vol.

Plato and the foundations of mathematics Notes Log., vol

Reference 42

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Observation 5f7a5bad-cf97-48d9-a360-db43cd8804ff · outbound

This paper cites Kreisel and A.

Plato and the foundations of mathematics Kreisel and A

Reference 43

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Observation efa6aca2-9a8b-47ff-acf8-4faf8cb2039f · outbound

This paper cites Kreuzer, The cohesive principle and the Bolzano-Weierstraßprinciple , MLQ Math.

Plato and the foundations of mathematics Kreuzer, The cohesive principle and the Bolzano-Weierstraßprinciple , MLQ Math

Reference 44

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Observation b2706497-d45b-425f-b103-f3fc72c29374 · outbound

This paper cites 242, Marcel Dekker, Inc., New York, 2001.

Plato and the foundations of mathematics 242, Marcel Dekker, Inc., New York, 2001

Reference 45

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Reference 46

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Plato and the foundations of mathematics Unresolved cited work

Reference 47

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Observation 144f5ec1-437f-4073-bad5-c801990f8aa3 · outbound

This paper cites Shore,The limits of determinacy in second-order arith- metic, Proc.

Plato and the foundations of mathematics Shore,The limits of determinacy in second-order arith- metic, Proc

Reference 48

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Reference 49

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Reference 50

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Observation 885927d5-770b-4cff-8b92-a20b44f10d53 · outbound

This paper cites 12, 628–632.

Plato and the foundations of mathematics 12, 628–632

Reference 51

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Reference 52

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Plato and the foundations of mathematics Unresolved cited work

Reference 53

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Observation 440f47de-f88f-42dc-83ab-f3f5cc3a766e · outbound

This paper cites Muldowney, A general theory of integration in function spaces, including Wiener and Feynman integration, Vol.

Plato and the foundations of mathematics Muldowney, A general theory of integration in function spaces, including Wiener and Feynman integration, Vol

Reference 54

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Observation c3c2e5b1-0a6a-47ed-92d7-bca3f30ee24f · outbound

This paper cites Nathanson, Path integration with non-positive distributions and applications to the Schr¨dinger equation, PhD (Doctor of Philosophy) thesis, University of Iowa, https://doi.

Plato and the foundations of mathematics Nathanson, Path integration with non-positive distributions and applications to the Schr¨dinger equation, PhD (Doctor of Philosophy) thesis, University of Iowa, https://doi

Reference 55

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Observation 87e249d9-4e1c-4fca-b664-c1e58ab82ac9 · outbound

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Plato and the foundations of mathematics Nathanson and P

Reference 56

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Observation 09fc70a9-7934-411c-b3b9-beab6c0e9848 · outbound

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Plato and the foundations of mathematics Unresolved cited work

Reference 57

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Observation 22b69e21-daab-465c-a508-10778b9b8641 · outbound

This paper cites Symbolic Logic 84 (2019), no.

Plato and the foundations of mathematics Symbolic Logic 84 (2019), no

Reference 58

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Reference 59

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Plato and the foundations of mathematics Unresolved cited work

Reference 60

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Observation 307c6bd9-5a88-4351-9161-be06335fb91a · outbound

This paper cites On the mathematical and foundational significance of the uncountable.

Plato and the foundations of mathematics On the mathematical and foundational significance of the uncountable

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:24:44.555034Z

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Observation 5cde80f5-2420-43a8-98eb-a78bb16cdcf6 · outbound

This paper cites On the logical and computational properties of the Vitali covering theorem.

Plato and the foundations of mathematics On the logical and computational properties of the Vitali covering theorem

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:43.860003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6250a5fc-b9a6-4eeb-8780-1359caedc115 · outbound

This paper cites Pure Appl.

Plato and the foundations of mathematics Pure Appl

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:45.096783Z

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Observation 7388ec5e-6aec-4b96-8d7e-e9afdc77d826 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:43.872485Z

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Observation 98efc4e9-dc38-4d2a-8b8e-2ae7914100b0 · outbound

This paper cites On the uncountability of $\mathbb{R}$.

Plato and the foundations of mathematics On the uncountability of $\mathbb{R}$

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:24:44.477301Z

Source-reported events for the cited work

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Observation a579ec20-7d18-488e-ad88-953302b460a0 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:45.056223Z

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Observation 42dbd6af-1e37-493f-ac54-899e7625fa33 · outbound

This paper cites Scattering using real-time path integrals.

Plato and the foundations of mathematics Scattering using real-time path integrals

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:24:44.444246Z

Source-reported events for the cited work

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Observation d2a7204f-faf3-4160-9ba2-2d388d66f409 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:45.035048Z

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Observation b2e20e29-da17-4c6f-a3c3-93f1b89e3170 · outbound

This paper cites 99-116, 2003.

Plato and the foundations of mathematics 99-116, 2003

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:45.014455Z

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Observation e6b2ecaa-855d-4686-a6ae-adfb4f759c52 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 70

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.988264Z

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Observation 9c0bf05c-9890-4ed3-88c0-51cbe056f947 · outbound

This paper cites Reverse Mathematics of topology: dimension, paracompactness, and splittings.

Plato and the foundations of mathematics Reverse Mathematics of topology: dimension, paracompactness, and splittings

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:43.937124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36f7b916-abdb-4a29-9f67-a080ef04c3f3 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 72

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.966836Z

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Observation 858e9b0d-8c5c-4312-9721-aae7f86ae6b5 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.940530Z

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Observation 2ed6cdcb-78e3-4ab9-b254-ca1b71b7a2b0 · outbound

This paper cites Nets and Reverse Mathematics, a pilot study.

Plato and the foundations of mathematics Nets and Reverse Mathematics, a pilot study

Reference 74

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:24:44.392583Z

Source-reported events for the cited work

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Observation 1f741076-47fa-407a-810d-5387af44975b · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.911014Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b8d60ac-a406-4667-87d3-0d854e9cda3a · outbound

This paper cites Lifting countable to uncountable mathematics.

Plato and the foundations of mathematics Lifting countable to uncountable mathematics

Reference 76

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:24:44.356981Z

Source-reported events for the cited work

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Observation ae4a4be5-9dee-42ce-96cb-9275b997e6dd · outbound

This paper cites Representations and the foundations of mathematics.

Plato and the foundations of mathematics Representations and the foundations of mathematics

Reference 77

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:24:44.329514Z

Source-reported events for the cited work

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Observation 66729895-e6e3-4093-ac8f-dc418b895424 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.890382Z

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Observation b3ed8094-aa18-4599-a2a0-78cf466c814c · outbound

This paper cites Simpson, Nonprovability of certain combinatorial properties of ﬁnite trees, Harvey Friedman’s research on the foundations of mathematics, Stud.

Plato and the foundations of mathematics Simpson, Nonprovability of certain combinatorial properties of ﬁnite trees, Harvey Friedman’s research on the foundations of mathematics, Stud

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.873281Z

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Observation 3bd08c56-e74b-436f-a87d-c15b624a6112 · outbound

This paper cites Symbolic Logic 53 (1988), no.

Plato and the foundations of mathematics Symbolic Logic 53 (1988), no

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.855650Z

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Observation 0e88aaf6-32b9-4243-b4e2-da08f250f2c9 · outbound

This paper cites 21, ASL, La Jolla, CA, 2005.

Plato and the foundations of mathematics 21, ASL, La Jolla, CA, 2005

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.838819Z

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Observation 2597462c-1b09-4d64-85f2-624b217658da · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:44.031678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0376c628-37da-4435-8812-0a04c6e04e0f · outbound

This paper cites Essays for his centennial, 2010, pp.

Plato and the foundations of mathematics Essays for his centennial, 2010, pp

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.804736Z

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Observation a039e66f-1a11-49c3-97f6-75bedf3e6320 · outbound

This paper cites Symbolic Logic 14 (1949), 145–158 (German).

Plato and the foundations of mathematics Symbolic Logic 14 (1949), 145–158 (German)

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:44.060035Z

Source-reported events for the cited work

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Observation 7330cf9b-4ebd-4205-9253-30ba7f25d0aa · outbound

This paper cites Stillwell, Reverse mathematics, proofs from the inside out , Princeton Univ.

Plato and the foundations of mathematics Stillwell, Reverse mathematics, proofs from the inside out , Princeton Univ

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-14T13:24:44.075210Z

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Unavailable: canonical work link unavailable.

Observation b974c46a-133b-41bc-afec-55341a53f51f · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 86

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.758163Z

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Observation 678770b9-b142-475f-b0e4-4a4c5c74e97d · outbound

This paper cites Tait, Finitism, The Journal of Philosophy 78 (1981), 524-564.

Plato and the foundations of mathematics Tait, Finitism, The Journal of Philosophy 78 (1981), 524-564

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.738868Z

Source-reported events for the cited work

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Observation b55d0b07-af98-415f-ae9e-caf571b9ffaa · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 88

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.722791Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3895b3c1-ee09-4249-a57a-81108cfdee22 · outbound

This paper cites Lecture Notes in Mathematics, Vol.

Plato and the foundations of mathematics Lecture Notes in Mathematics, Vol

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.701988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 15c17fa5-683d-4aa1-9d37-706c5783d574 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 90

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.675958Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e63cf5e3-26d5-47a0-9cc7-dc13686fb4b4 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 91

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.654548Z

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Observation 87a5b548-1caa-4c9c-bff2-0f8ed6a7d051 · outbound

This paper cites Tukey, Convergence and Uniformity in Topology , Annals of Mathematics Studies, no.

Plato and the foundations of mathematics Tukey, Convergence and Uniformity in Topology , Annals of Mathematics Studies, no

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:24:44.637563Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c10d1e65-d2c9-4b14-bc39-26cc66f996af · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 93

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.618005Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6088b6b-7125-4831-9228-0b7e94498ff4 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 94

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.597492Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation daf93465-91cf-4ec4-8ccb-4cf9474c8f47 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 95

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:44.580786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ed17cf7d-4aa5-466e-8225-68eb6392caf2 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 436

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:45.691337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dcc3c45c-48c9-4f5d-bd96-a1f78bcd01f7 · outbound

This paper cites an unresolved cited work.

Plato and the foundations of mathematics Unresolved cited work

Reference 2013

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:24:46.013607Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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