Science Quotes

"The nature of subjective experience remains stubbornly resistant to standard scientific reduction."

"Consciousness is perhaps the deepest mystery science has yet encountered."

"The hard problem deserves a place alongside other great unsolved mysteries of science."

"We must take seriously the possibility that consciousness requires new laws of nature."

"The nature of subjective experience may ultimately transform our understanding of science."

"I don't believe in empiricism. I think something very mysterious is concealed behind the non-mathematical statements of scientists."

"Physical space and mathematical space are not identical."

"Every formal system has limitations built into it."

"The universe seems to have a mathematical structure that transcends human invention."

"Mathematics reveals the hidden order in chaos."

"The universe does not always follow our intuitions."

"We are all mathematicians whether we know it or not."

"The universe is fundamentally mathematical in nature."

"Mathematics is a mirror held up to the cosmos."

"The universe is more systematic than we are."

"Mathematics reveals the skeleton beneath reality's flesh."

"The law of excluded middle is not universally valid in intuitionistic logic."

"The verification principle demands that meaningful statements be empirically testable."

"Mathematical truth is not discovered but created through our systems of notation."

"Intuitionistic logic better captures the constructive nature of mathematical proof."

"The foundations of mathematics are not self-evident but depend on convention."

"Mathematics does not describe a realm of abstract objects but embodies human practices."

"Negation in intuitionistic logic has a constructive interpretation quite unlike classical negation."

"Our logical laws are not immutable truths but tools we have fashioned."

"Abstract objects pose a special difficulty for causal theories of reference."

"Logical truth is conventional; different logics are possible and sometimes preferable."

"Nominalism about abstract objects runs into difficulties with the semantics of mathematics."

"The principle of bivalence applies only within limited, well-defined domains."

"The foundations of logic are not self-evident but open to rational questioning."

"Logic is neither purely formal nor purely empirical but a mixed discipline."