Most predominant philosophical attitude toward mathematics

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Discussion Overview

The discussion revolves around the predominant philosophical attitudes toward mathematics, including perspectives such as mathematical platonism, formalism, logicism, and structuralism. Participants explore whether mathematicians must adhere to a single philosophical stance or if they can embody multiple views depending on context.

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Main Points Raised

  • One participant questions the necessity of adhering to a single philosophical stance, expressing personal alignment with platonism, logicism, and formalism at different times.
  • Another participant references a Wikipedia article as a source for further discussion on the topic, noting a lack of definitive polling on mathematicians' philosophical positions.
  • A third participant suggests that "structuralism" may be the most common philosophical view among mathematicians, though they acknowledge their lack of authority on the matter.
  • A later reply indicates that discussions on philosophy are not permitted, leading to the closure of the thread.

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Contextual Notes

The discussion is limited by the prohibition of philosophical discourse, which affects the depth and continuity of the conversation.

Ahmed Abdullah
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What is the most predominant philosophical attitude toward mathematics among mathematicians?
I am talking about things like mathematical platonism, formalism, logicism etc.
In some circumstances I feel that I am a platonist (e.g when thinking about pi) in others logicist or formalist etc. Does one have to be one or other?

Thx in advance.
 
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While I can't speak with any degree of authority on this, I suspect that "structuralism" is most common among mathematicians, whether they think of it that way or not.
 
Philosophy discussions are not allowed, since the thread is not staying away from philosophy as jedishrfu suggested, it is closed.
 
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