"Intuitionism" Example Sentences
1. Intuitionism is a philosophical movement that emphasizes the role of intuition in mathematics.
2. The intuitionism school of thought was founded by Dutch mathematician L. E. J. Brouwer.
3. Proponents of intuitionism reject the idea that mathematics is solely based on logic and reasoning.
4. Intuitionism holds that mathematical truths can only be known by direct intuition.
5. Intuitionism has been criticized for not being able to provide a solid foundation for mathematics.
6. One of the main criticisms of intuitionism is that it limits the scope of mathematics.
7. Intuitionism is sometimes seen as a response to the formalist approach to mathematics.
8. Brouwer's ideas about intuitionism were heavily influenced by his mystical beliefs.
9. Some mathematicians have used intuitionism to critique the notion of infinity.
10. Intuitionism has been compared to Kant's concept of a priori knowledge.
11. Intuitionism has had a significant impact on the development of mathematical philosophy.
12. The intuitionism vs. formalism debate is still an active topic in mathematical philosophy.
13. Intuitionism has its roots in the intuitionistic logic developed by Brouwer and others.
14. The philosophy of intuitionism has been extended to other areas of philosophical inquiry.
15. Intuitionism emphasizes the importance of subjective experience in the process of mathematical discovery.
16. The intuitionism school of thought has been influential in the development of topology.
17. Intuitionism has been used to create new mathematical systems, such as the intuitionistic set theory.
18. The limitations of intuitionism have led some to question its value as a philosophical concept.
19. Intuitionism has been criticized for being too subjective and difficult to define.
20. Some mathematicians have found the ideas of intuitionism to be liberating and inspiring.
21. Intuitionism has been described as a more humanistic approach to mathematical philosophy.
22. Intuitionism has been used to explain the intuition behind some mathematical concepts.
23. The acceptance of intuitionism has led to new developments in mathematical research.
24. Intuitionism has been used to criticize the concept of mathematical proof.
25. The rejection of intuitionism has led to the development of new mathematical systems.
26. Intuitionism has led to a greater appreciation for the role of creativity in mathematics.
27. Some have criticized intuitionism for being too restrictive in its approach to math.
28. Intuitionism has played a role in the development of constructive mathematics.
29. The role of intuitionism in modern mathematics is still a matter of debate.
30. Intuitionism is an important part of mathematical philosophy that challenges traditional notions of mathematical truth.
Common Phases
1. Trust your gut feeling;
2. Follow your inner voice;
3. Listen to your intuition;
4. Trust your instincts;
5. Allow yourself to be guided by intuition;
6. Tune into your sixth sense;
7. Pay attention to your intuition;
8. Trust your intuition to make decisions;
9. Intuition can help you solve problems;
10. Your intuition is your inner wisdom.