Sorry, no online dictionaries contain the exact phrase peirce's theory of deductive reasoning.

Reverse dictionary results:
1. syllogism
 2. logic
3. synthesis
4. argument
5. deduce
6. a priori
7. ratiocination
8. argumentation
9. deduction
10. pragmatism
 11. logical
12. premise
13. premises
14. premised
15. formal
16. formal logic
17. theorem
18. base
19. datum
20. diplomatically
 21. morally
22. ratiocinate
23. schesis
24. abstract
25. entertain
26. focus
27. axis
28. number line
29. pole
30. poles
 31. account
32. aspect
33. bottom
34. bottoms
35. citation
36. criterion
37. dove
38. down
39. footnote
40. from

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