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Hume believes that the only meaningful thoughts are those about relations of ideas (known a priori, examples including mathematics and logic) and matters of fact (known a posterior, examples including 'the sun rises' and 'carrots are orange'). But Hume's psychology promotes the notion that thoughts have meanings only insofar as they are reducible to impressions, since according to Hume our ideas reduce to impressions. As such, why does Hume make an exception for mathematics and logic, whichholding them to be meaningful thoughts, even though they are not themselves reducible to impressions?

Hume believes that the only meaningful thoughts are those about relations of ideas (known a priori, examples including mathematics and logic) and matters of fact (known a posterior, examples including 'the sun rises' and 'carrots are orange'). But Hume's psychology promotes the notion that thoughts have meanings only insofar as they are reducible to impressions, since according to Hume our ideas reduce to impressions. As such, why does Hume make an exception for mathematics and logic, which are not themselves reducible to impressions?

Hume believes that the only meaningful thoughts are those about relations of ideas (known a priori, examples including mathematics and logic) and matters of fact (known a posterior, examples including 'the sun rises' and 'carrots are orange'). But Hume's psychology promotes the notion that thoughts have meanings only insofar as they are reducible to impressions, since according to Hume our ideas reduce to impressions. As such, why does Hume make an exception for mathematics and logic, holding them to be meaningful thoughts, even though they are not themselves reducible to impressions?

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Why does Hume believe a priori knowledge retains the value of meaning despite our not experiencing it?

Hume believes that the only meaningful thoughts are those about relations of ideas (known a priori, examples including mathematics and logic) and matters of fact (known a posterior, examples including 'the sun rises' and 'carrots are orange'). But Hume's psychology promotes the notion that thoughts have meanings only insofar as they are reducible to impressions, since according to Hume our ideas reduce to impressions. As such, why does Hume make an exception for mathematics and logic, which are not themselves reducible to impressions?