CSHPM Online Colloquium: Silvia De Toffoli
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Nicolas Fillion
Nov 21, 2020, 7:25:25 PM11/21/20
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***CSHPM Online Colloquium: Silvia De Toffoli ***
In these isolated times, the Canadian Society for History and Philosophy of Mathematics (http://www.cshpm.org/) is organizing an online colloquium series via Zoom. Sessions are open to CSHPM members as well as the broader scholarly community. Participants are encouraged to become members (for as little as $10-$30/year, depending on your employment status), but it is not required. Non-members can get regular updates on our activities by liking us on Facebook (https://www.facebook.com/cshpmschpm). The talk will last 30 minutes, followed by a Q&A.
SILVIA DE TOFFOLI, Postdoc Philosophy at Princeton University, will deliver the
seventh talk of the CSHPM Online Colloquium series.
DATE: November 27th
TIME: UTC 18:00; Vancouver 11:00; Edmonton/Regina 12:00; Winnipeg 13:00; Montreal/Toronto 14:00; Halifax 15:00; St. John's 15:30
TITLE: A Fallibilist Account of Mathematical Justification
ABSTRACT: In this talk, I will put forward an account of mathematical justification that is faithful to actual mathematical practice. I will focus on mathematical doxastic justification, that is, justification for an agent's belief in a mathematical claim for mathematical reasons. In contrast to traditional views, I will argue that even in the case of mathematics justification and knowledge can come apart. I will argue that the norms for doxastic justification at play in actual mathematical practice apply to individual agents but present an important social component. Moreover, in my view the bar on justification changes according to the social role the agent is playing. Whereas for the laywoman pure testimony is enough and for the clairvoyant the reliability of her super-power would suffices, for the expert mathematician a mathematical argument is needed. Such argument is what I label a simil-proof (SP), that is, an argument that looks like a proof to the relevant agents. I will characterize SPs as sharable: having a SP implies grasping how it supports its conclusion and also being able to share it in the appropriate context. This implies that being justified is connected to the ability not only of responding to criticism adequately, but also of justifying. One striking respect in which my account of mathematical justification differs from more traditional ones is that it has a fallibilist flavor: justification comes apart from truth since an agent may be justified in believing a false proposition or in believing a true proposition by improperly grasping a fallacious argument.
Please distribute this information to all who might be interested. The information to join
the session via Zoom is as follows:
Nicolas Fillion is inviting you to a scheduled Zoom meeting.
Your participation will result in the disclosure of personal information to Zoom Video Communications.
To consent to this disclosure, visit the link below.
https://www.surveymonkey.ca/r/zoomprivacy
Have questions about SFU's Zoom privacy and security guidelines, visit the link below.
https://www.sfu.ca/itservices/technical/videoconferencing/zoom/privacy.html
Topic: CSHPM talk: Silvia De Toffoli
Time: Nov 27, 2020 11:00 AM Pacific Time (US and Canada)
Join Zoom Meeting
https://sfu.zoom.us/j/84976787042?pwd=cE9LY2dCQ2JDVHJQdERjeXZRV1RPQT09
Meeting ID: 849 7678 7042
Password: 276036
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+1 778 907 2071 Canada
+1 204 272 7920 Canada
+1 438 809 7799 Canada
+1 587 328 1099 Canada
+1 647 374 4685 Canada
Meeting ID: 849 7678 7042
Password: 276036
Find your local number: https://sfu.zoom.us/u/kp8pRwLxD
In these isolated times, the Canadian Society for History and Philosophy of Mathematics (http://www.cshpm.org/) is organizing an online colloquium series via Zoom. Sessions are open to CSHPM members as well as the broader scholarly community. Participants are encouraged to become members (for as little as $10-$30/year, depending on your employment status), but it is not required. Non-members can get regular updates on our activities by liking us on Facebook (https://www.facebook.com/cshpmschpm). The talk will last 30 minutes, followed by a Q&A.
SILVIA DE TOFFOLI, Postdoc Philosophy at Princeton University, will deliver the
seventh talk of the CSHPM Online Colloquium series.
DATE: November 27th
TIME: UTC 18:00; Vancouver 11:00; Edmonton/Regina 12:00; Winnipeg 13:00; Montreal/Toronto 14:00; Halifax 15:00; St. John's 15:30
TITLE: A Fallibilist Account of Mathematical Justification
ABSTRACT: In this talk, I will put forward an account of mathematical justification that is faithful to actual mathematical practice. I will focus on mathematical doxastic justification, that is, justification for an agent's belief in a mathematical claim for mathematical reasons. In contrast to traditional views, I will argue that even in the case of mathematics justification and knowledge can come apart. I will argue that the norms for doxastic justification at play in actual mathematical practice apply to individual agents but present an important social component. Moreover, in my view the bar on justification changes according to the social role the agent is playing. Whereas for the laywoman pure testimony is enough and for the clairvoyant the reliability of her super-power would suffices, for the expert mathematician a mathematical argument is needed. Such argument is what I label a simil-proof (SP), that is, an argument that looks like a proof to the relevant agents. I will characterize SPs as sharable: having a SP implies grasping how it supports its conclusion and also being able to share it in the appropriate context. This implies that being justified is connected to the ability not only of responding to criticism adequately, but also of justifying. One striking respect in which my account of mathematical justification differs from more traditional ones is that it has a fallibilist flavor: justification comes apart from truth since an agent may be justified in believing a false proposition or in believing a true proposition by improperly grasping a fallacious argument.
Please distribute this information to all who might be interested. The information to join
the session via Zoom is as follows:
Nicolas Fillion is inviting you to a scheduled Zoom meeting.
Your participation will result in the disclosure of personal information to Zoom Video Communications.
To consent to this disclosure, visit the link below.
https://www.surveymonkey.ca/r/zoomprivacy
Have questions about SFU's Zoom privacy and security guidelines, visit the link below.
https://www.sfu.ca/itservices/technical/videoconferencing/zoom/privacy.html
Topic: CSHPM talk: Silvia De Toffoli
Time: Nov 27, 2020 11:00 AM Pacific Time (US and Canada)
Join Zoom Meeting
https://sfu.zoom.us/j/84976787042?pwd=cE9LY2dCQ2JDVHJQdERjeXZRV1RPQT09
Meeting ID: 849 7678 7042
Password: 276036
One tap mobile
+16475580588,,84976787042#,,,,0#,,276036# Canada
+17789072071,,84976787042#,,,,0#,,276036# Canada
Dial by your location
+1 647 558 0588 Canada
+1 778 907 2071 Canada
+1 204 272 7920 Canada
+1 438 809 7799 Canada
+1 587 328 1099 Canada
+1 647 374 4685 Canada
Meeting ID: 849 7678 7042
Password: 276036
Find your local number: https://sfu.zoom.us/u/kp8pRwLxD
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