Skip to main content

Daily Inspiration Quote by Abraham Robinson

"As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable"

About this Quote

Robinson is taking a scalpel to a fashionable kind of metaphysical bravado: the idea that mathematics might contain truths forever sealed off from human access. The opening hedge, "As far as I know", reads modest, but it functions as a social map of the discipline. He is reporting what the community will and will not tolerate as a live position, and the phrase "only a small minority" quietly turns "unknowable truths" into an eccentric taste rather than a profound insight.

The key pressure point is his aside: "even of those with Platonist views". Platonists already grant mathematics an objective reality independent of us; if anyone should be comfortable with truths existing beyond proof, it is them. Robinson's point is that most working mathematicians, including many Platonists, still cling to an implicit humanism: mathematical reality is not just "out there", it is also, in principle, navigable. That is less a theorem than a professional ethic. Math is built on the promise that questions can be clarified, methods refined, axioms adjusted, and eventually knowledge expanded. A permanent unknowable remainder threatens the craft's moral economy.

The context matters. After Godel, it became impossible to treat "true but unprovable" as a mere philosophical toy. Robinson, a logician famous for nonstandard analysis, had every reason to take foundational results seriously. The subtext is not denial of incompleteness; it is skepticism toward inflating it into mysticism. He's defending mathematics as a practiced, communal enterprise: not a museum of unreachable facts, but a project whose default posture is that understanding can be earned.

Quote Details

TopicTruth
SourceHelp us find the source
Cite

Citation Formats

APA Style (7th ed.)
Robinson, Abraham. (2026, January 16). As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable. FixQuotes. https://fixquotes.com/quotes/as-far-as-i-know-only-a-small-minority-of-119020/

Chicago Style
Robinson, Abraham. "As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable." FixQuotes. January 16, 2026. https://fixquotes.com/quotes/as-far-as-i-know-only-a-small-minority-of-119020/.

MLA Style (9th ed.)
"As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable." FixQuotes, 16 Jan. 2026, https://fixquotes.com/quotes/as-far-as-i-know-only-a-small-minority-of-119020/. Accessed 12 Feb. 2026.

More Quotes by Abraham Add to List
Unknowable Mathematical Facts: Robinson's Insight
Click to enlarge Portrait | Landscape

About the Author

Germany Flag

Abraham Robinson (October 6, 1918 - April 11, 1974) was a Mathematician from Germany.

2 more quotes available

View Profile

Similar Quotes

George Santayana, Philosopher
George Santayana