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This point of view regards only one sort of mathematics as discoverable; it sees triangles, right angles, and curves, for example, as real entities, not just the creations of the human mind.Some working mathematicians have espoused mathematical realism as they see themselves experiencing naturally occurring objects. Gödel believed in an objective mathematical reality that could be perceived in a manner analogous to sense perception.Most theorists, however, generalized the view to cover all mental experience.Mathematicians can exemplify cumulative mental experience in the approaches and skills with which they work.With experience, there are distinctions depending on what sort of existence one takes mathematical entities to have, and how we know about them.

For example: our senses collect data, which we then process according to biological programming (genetics), neurological network-relationships and other variables such as relativity etc., all of which affect our individual experience of any given situation in such a way as to render it subjective.Second-hand experience can offer richer resources: recorded and/or summarised from first-hand observers or experiencers or from instruments, and potentially expressing multiple points of view.Third-hand experience, based on indirect and possibly unreliable rumour or hearsay, can (even given reliable accounts) potentially stray perilously close to blind honouring of authority.Participants in activities such as tourism, extreme sports and recreational drug-use also tend to stress the importance of experience.The history of the word experience aligns it closely with the concept of experiment.

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