The Purest form of Abstract thought

In summary, The quote "Mathematics is the purest form of abstract thought" refers to the fact that in mathematics, the existence of the things being studied is uncertain and debated, leading some to call it "the study without an object." This makes it more abstract than other subjects like philosophy and physics, which have some connection to reality. However, the development of quantum mechanics was driven by experimental evidence, while superstring theory, often considered a purely mathematical concept, has no experimental support. Mathematician Edward Witten was even awarded the Fields medal for his contributions to superstring theory.
  • #1
josephcollins
59
0
Hi ppl,
Could someone please tell me who's quote this is: "Mathematics is the purest form of abstract thought"?
 
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  • #2
In mathematics you don't know whether the things you study exist or not, or what it would mean for them to really exist. Not only mathematicians, but philosophers have debated this issue without reaching a concensus. Some philosophers have called mathematics "The study without an object".

No other study has so abstract a topic matter. Specifically philosophy and physics both, at their most abstract, have SOME reference to reality.
 
  • #3
selfAdjoint said:
In mathematics you don't know whether the things you study exist or not, or what it would mean for them to really exist. Not only mathematicians, but philosophers have debated this issue without reaching a concensus. Some philosophers have called mathematics "The study without an object".

No other study has so abstract a topic matter. Specifically philosophy and physics both, at their most abstract, have SOME reference to reality.

That's funny, that is exactly what they say about quantum mechanics as well. :tongue2:
 
  • #4
wuliheron said:
That's funny, that is exactly what they say about quantum mechanics as well. :tongue2:


Not at all! Quantum Mechanics has a strong experimental support, and indeed its delevelopment was driven by advances in experimental technique, from the photoelectric effect to the microwave spectroscopy than yielded the Lamb shift.

Superstring theory now, has no experimental support and has been accused by some of being pure philosophy. But what it actually is closer to is pure mathematics. It is no accident the Witten was awarded the Fields medal, the mathematical equivalent of the Nobel proze.
 

1. What is the purest form of abstract thought?

The purest form of abstract thought is the process of thinking without any external influences or distractions. It involves using imagination, creativity, and introspection to explore concepts that are not based on physical reality.

2. How is the purest form of abstract thought different from concrete thinking?

Abstract thought is different from concrete thinking in that it does not rely on tangible or logical connections. It is more conceptual and subjective, while concrete thinking is based on facts and observable evidence.

3. Can everyone engage in the purest form of abstract thought?

Yes, everyone has the ability to engage in abstract thought. It is a natural aspect of human cognition and can be developed and improved through practice and exposure to different ideas and perspectives.

4. What are some examples of abstract thought?

Some examples of abstract thought include philosophical concepts, artistic expressions, and mathematical theories. It can also involve contemplating complex emotions or metaphysical ideas.

5. How can abstract thought be beneficial in the scientific field?

Abstract thought is essential in the scientific field as it allows scientists to generate new ideas, theories, and hypotheses. It also helps them think critically and creatively, leading to innovative breakthroughs and advancements in various fields of study.

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