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The Art of Logical Thinking

William Walker Atkinson

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Pages and passages

1. Page 152. Brooks states: "The real reason for the certainty of mathematical reasoning may be st
2. Page 154. The same eminent authority says: "When we examine carefully enough the way in which w
3. Page 156. CHAPTER XVI. THE SYLLOGISM The third and highest phase or step in reasoning—the step
4. Page 157. This process of reasoning embraces three ideas or objects of thought, in their expres
5. Page 159. Conclusion: "Socrates is mortal" (or "C is B"). It will be seen that the above Syllog
6. Page 161. The Minor Term and the Major Term must appear in the Conclusion. Thus we see that The
7. Page 163. V. That the Middle Term must be distributed; (that is, taken universally) in at least
8. Page 164. VI. That an extreme, if undistributed in a Premise, may not be distributed in the Con
9. Page 167. CHAPTER XVII. VARIETIES OF SYLLOGISMS The authorities in Logic hold that with the fou
10. Page 168. In many instances of ordinary thought and expression the complete syllogistic form is
11. Page 169. The forms of reasoning based upon these three several classes of propositions bear th
12. Page 170. Hypothetical Syllogisms, on the contrary, have as one or more of their premises a hyp
13. Page 171. By joining a hypothetical proposition with an ordinary proposition we create a Hypoth
14. Page 172. I. "If the Antecedent be affirmed, the consequent may be affirmed. If the Consequent
15. Page 174. Hypothetical Syllogisms may usually be easily reduced to or converted into Categorica
16. Page 176. The Disjunctive Syllogism is one having a disjunctive proposition in its major premis
17. Page 176. The Rule regarding the Use of Disjunctive Syllogisms is that: "If one or more alterna
18. Page 179. CHAPTER XVIII. REASONING BY ANALOGY What is called Reasoning by Analogy is one of the
19. Page 180. Brooks says of this form of reasoning: "This principle is in constant application in
20. Page 182. But the student must be on guard against the deceptive conclusions sometimes arising
21. Page 183. Regarding the Rule for Reasoning from Analogy, Jevons says: "There is no way in which
22. Page 184. Along the same lines, Brooks says: "The inference from analogy, like that from induct
23. Page 186. CHAPTER XIX. FALLACIES A Fallacy is: "An unsound argument or mode of arguing, which,
24. Page 186. In Deductive Reasoning, we meet with two classes of Fallacies; namely, (1) Fallacious
25. Page 188. "Begging the Question" also often arises from giving a name to a thing, and then assu
26. Page 189. Arising from "Begging the Question," and in fact a class of the latter, is what is ca
27. Page 191. Fallacious Conclusion is in effect an unwarranted or irrelevant assumption of a logic
28. Page 193. Appeal to Authority, or Reverence, in which the reverence and respect of the public f
29. Page 194. Appeal to Ignorance, in which an appeal is made to the ignorance of the opponent that
30. Page 196. Arguing from the Collective to the General, in which the fallacy consists of arguing
31. Page 197. Fallacy of Unsuccessful Argument, in which is attempted the illogical conclusion that
32. Page 199. In addition to the above stated fallacies of Deductive Reasoning, there are other fal
33. Page 200. Fallacies of Mistaken Cause result from the assumption of a thing as a cause, when it
34. Page 202. In conclusion, we would call your attention to the following words from Jevons, in wh