hmn habituation

  • Deductive vs. Inductive arguments (from the transcript):

    • Inductive argument: from particular instances to the general. Example: in Aristotle, etc. Max says: from the particular to the general.
    • Deductive argument: starts with general principles and applies them to particular cases; moves from a major premise to a minor premise to a conclusion.
    • In practice, real-life reasoning (including science) mixes both logics rather than being purely one or the other.

  • The scientific method as a mixed logic process:

    • Deductive part: starts with general rules/hypotheses and derives specific predictions; used when designing experiments and in the hypothesis/testing structure.
    • Lab report structure reflecting deductive moves: Introduction (theory, hypothesis), Body (methods, results), Conclusions (inference from data).
    • In the hypothesis stage, one often writes a hypothesis and a null hypothesis; the deductive move is: if the hypothesis is true, then in the experiment you should observe certain outcomes.
    • Inductive part: collecting data through trials until data saturation; observations are used to test or revise hypotheses; inductive reasoning can refute the initial deductive expectations.
    • The claim that inductive work can challenge deductive premises: hypotheses may be updated or reversed based on data.
    • The idea that the scientific method uses inductive testing to test its deductive principles.

  • Syllogisms and the deductive structure:

    • Deductive syllogisms link a subject to a predicate via a middle term.
    • Example framework with names as subjects and predicates:
    • Major premise: All humans are mortal. (general principle)
    • Minor premise: Doctor Elrod is human. (specific case)
    • Conclusion: Doctor Elrod is mortal. (specific conclusion)
    • Formal rendering (symbolic logic):
    • P
      ightarrow Q,\
      P\, \Rightarrow Q
    • Or in natural language: If a person is human, then they are mortal. Given that Doctor Elrod is human, Doctor Elrod is mortal.
    • Depending on the example, the form may be presented as: If a human, then dead; Doctor Elrod is human; therefore, Doctor Elrod will die. (Illustrates the deductive move from general rule to a specific claim)
    • The professor notes that this reflects the traditional view that math is largely deductive, while science blends deduction with empirical testing.

  • Inductive reasoning and the mortality example:

    • Inductive move starts from particular instances and identifies a pattern leading to a general conclusion:
    • Observed deaths: George Washington is dead, John Adams is dead, Gandhi is dead, Queen Elizabeth II is dead, etc.
    • From many observed deaths, the general claim arises: all humans are mortal.
    • The stronger the general conclusion, the more evidence is required (more data/examples).
    • Attack strategies in inductive arguments: you can attack the major premise (e.g., not all humans are mortal) or the minor premise (e.g., not all humans are human), or challenge the pattern/evidence, or introduce alternative explanations such as holograms or non-human actors.
    • The example of possible alternative explanations used in class:
    • A minor premise might be challenged: Doctor Elrod might not be human (e.g., could be a hologram or AI). The inductive method would then look for further evidence (e.g., bodily experience like hand-shaking would reveal corporeality/humanity).
    • Additional inductive considerations in this discussion:
    • The