Why must science have an a priori foundation?

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In summary, the conversation discusses the idea that science must have an a priori foundation in order to constitute knowledge. This is supported by the fact that mathematics, a universal and non-analytic discipline, is a priori and cannot be empirical. The problem of induction also suggests that science must have an a priori foundation. Furthermore, many scientific discoveries are made through thinking rather than experiments, and many scientific claims go beyond what can be justified by experiments. Additionally, some aspects of classical physics, such as simple mechanics, are based on a priori intuition. The scientific method also relies on a priori intuitions in the process of hypothesis testing.
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jbmolineux
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I believe that science must rest on an a priori foundation (and is not empirical) and I wanted to use this forum to get a sense for how people might respond to these ideas. Here are the reasons I give for why science must ultimately have an a priori foundation:
  1. Mathematics is a priori. I don't believe this can seriously be doubted. It is universal and non-analytic (per Kurt Godel) and cannot be empircal (per the problem of induction).
  2. The problem of induction basically shows that science either has an a priori foundation, or cannot constitute anything like knowledge.
  3. Many scientific discoveries (including many of the most important ones in history) take place by means of thinking. "Thought experiments" are a major means of making scientific discoveries. Thus Newton and Einstein made their major discoveries just "by thinking about it for a long time" (rather than by experiments or observations).
  4. Many scientific claims clearly go far beyond what could be justified by experiment. To use a simple example, Newton's 3rd law is a universal statement about every action. But neither Newton nor anyone else since has ever tested every action in the history of the universe. To draw universal laws from a handful of examples would be a gross fallacy if science were empirical.
  5. Simple mechanics is clearly intuited a priori. Levers, wheels, and gears all work in ways that can be clearly intuited. Ironically, what happens to pool balls in Hume's classic example is also intuited a priori. I believe much (but not all) of classical physics is also based on a priori intuition.
  6. I believe that experiments and the scientific method interact with a priori intuitions in the following way. From a known class of events (by events I mean a physical phenomenon that can be repeatedly tested), scientists use a sort of repeated-hypothetical-deduction process to come up with a "hypothesis" (a general statement) that fits with the set of known events, eliminate those that lead to contradictions, and when they find one that does not contradict any known events, design experiments to test whether other events entailed by the hypothesis actually obtain.
Thoughts?
 
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This thread will remain closed. It is a philosophical topic (philosophy of science) and we try to stay away from philosophical topics as much as possible.
 
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1. Why is a priori knowledge important in science?

A priori knowledge, or knowledge that is independent of experience, is important in science because it allows for the development of theories and hypotheses that can be tested and validated through empirical evidence. It provides a solid foundation for scientific inquiry and allows for the exploration of new ideas and concepts.

2. How does a priori reasoning contribute to scientific understanding?

A priori reasoning, or reasoning based on deductive or logical principles, allows scientists to make predictions and draw conclusions based on existing knowledge and theories. This contributes to scientific understanding by providing a framework for organizing and interpreting data, and can lead to the development of new theories or the refinement of existing ones.

3. Can science rely solely on a priori knowledge?

No, science cannot rely solely on a priori knowledge. While a priori reasoning is important in developing scientific theories and hypotheses, it must be combined with empirical evidence and experimentation in order to validate and refine these ideas. Empirical evidence is necessary to test and confirm the validity of a priori reasoning in the real world.

4. What are some examples of a priori knowledge in science?

Examples of a priori knowledge in science include mathematical principles, logical deductions, and fundamental laws and principles such as the laws of thermodynamics or the theory of relativity. These concepts are not derived from experience, but rather are based on a priori reasoning and have been validated through empirical evidence.

5. How does a priori knowledge differ from a posteriori knowledge?

A priori knowledge is knowledge that is independent of experience, while a posteriori knowledge is knowledge that is derived from experience. A priori knowledge is based on logical reasoning and can be known to be true without empirical evidence, while a posteriori knowledge is based on observation and requires empirical evidence for validation. In science, a combination of both a priori and a posteriori knowledge is necessary for a complete understanding of the natural world.

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