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public:rem4:rem4-16:philosophy_of_science_iii [2016/09/26 12:38]
thorisson2 [Research in Computer Science]
public:rem4:rem4-16:philosophy_of_science_iii [2016/09/26 12:39] (current)
thorisson2 [Can One Method Support Another?]
Line 34: Line 34:
 |  |  **Empirical**  |  **Mathematical**  |  **Philosophical**  | |  |  **Empirical**  |  **Mathematical**  |  **Philosophical**  |
 |  from **Empirical** to  |  -  |  **no** \\ mathematics cannot get support from empirical methods because the former is axiomatic (what experiment would support that 2+2=4?)  |  **yes** \\ empirical results can limit and focus philosophical investigations  | |  from **Empirical** to  |  -  |  **no** \\ mathematics cannot get support from empirical methods because the former is axiomatic (what experiment would support that 2+2=4?)  |  **yes** \\ empirical results can limit and focus philosophical investigations  |
-|  from **Mathematics** to  |  **yes** \\ via modeling  |  -  |  **yes** \\ via speculation  |+|  from **Mathematics** to  |  **yes** \\ via modeling  |  -  |  **yes** \\ mathematical arguments can limit and focus philosophical investigations  |
 |  from **Philosophy** to  |  **yes** \\ a fundamental function of philosophy is to inform and guide empirical investigation  |  **yes** \\ philosophy informs and guides mathematics  |  -  | |  from **Philosophy** to  |  **yes** \\ a fundamental function of philosophy is to inform and guide empirical investigation  |  **yes** \\ philosophy informs and guides mathematics  |  -  |
  
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