If we spoke a different language, we would perceive a somewhat different world.
Ludwig WittgensteinRead
We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.
Interpretation
What this quote means
This quote emphasizes that while physics can be defied, geometry holds a more absolute certainty in its truths.
Ludwig Wittgenstein's statement suggests that while the principles of physics are subject to change or contradiction based on new discoveries or interpretations, the axioms and truths of geometry are foundational and unchangeable in the realm of spatial reasoning. This highlights the inherent stability and reliability of geometric truths in contrast to the evolving nature of physical laws.
Themes
GeometryPhysicsTruthPhilosophySpatial Reasoning
In practice
Example use cases
In a lecture on the nature of scientific laws, this quote could illustrate the distinction between physical theories and geometric fundamentals.
More from Ludwig Wittgenstein
All quotes βOne cannot guess how a word functions. One has to look at its use and learn from that. But the difficulty is to remove the prejudice which stands in the way of doing this. It is not a stupid prejudice.
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No one likes having offended another person; hence everyone feels so much better if the other person doesn't show he's been offended. Nobody likes being confronted by a wounded spaniel. Remember that. It is much easier patiently - and tolerantly - to avoid the person you have injured than to approach him as a friend. You need courage for that.
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It's impossible for me to say one word about all that music has meant to me in my life. How, then, can I hope to be understood?
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Nothing is so difficult as not deceiving oneself.
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My day passes between logic, whistling, going for walks, and being depressed. I wish to God that I were more intelligent and everything would finally become clear to me - or else that I needn't live much longer.
Ludwig WittgensteinRead
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