Unit 2: LOGIC AND REASONING Flashcards
LOGIC
the study of how we reason
Formal Logic
studies of the principles that set apart good reasoning and arguments from the bad
Informal Logic (Critical Thinking)
Looks at the reasoning people use in everyday life and why they think/reason that way
- Why do politicians say certain things
- What arguments do businessmen use and how is that used to persuade people?
Reasoning
The process of giving reasons in support of an idea or action
-The process of forming conclusions, judgments, and inferences from facts and premises
Argument
The use of one or more reasons to support an idea
Premises
An assumption that something is true
-An argument always has at least 2 premises and a conclusion
Conclusion
Declarative sentence or position
Inference
Using existing information to form new information
Logical Fallacies
A misconception resulting from incorrect reasoning
-The concept of making an error in terms of reasoning. It is crucial to understand them and avoid them so the mistake is not made during persuasion
Proposition
A statement that can be either true or false
-It’s 5 pm. He left his room.
3 main laws of formal contradiction
- Identity
- Non-contradiction
- Excluding Middle
Law #1
- Law of Identity
- Something is that of which it is
- Things cannot have more than 1 identity
Law #2
- Non-Contradiction
- A proposition cannot be true and false at the same time
Law #3
- Exclude middle
- A position must be true OR false with no middle ground
- As long as terms are defined (law of Identity) then there is no middle ground
Occam’s Razor
- With all things being equal, it is usually the simplest conclusion that is typically the right answer
- Arguments with the fewest assumptions are typically right
Inductive Reasoning
- Reasons from specific to general
- Notices many facts and comes to a general conclusion
- No certainty possible
- EXCEPTION TO THE CONCLUSION
Deductive Reasoning
- Reasoning from general to specific
- Starts with a hypothesis and inserts a fact and comes to conclusion based on the hypothesis
- Certainly can be possible if the valid and true syllogism
- NO EXCEPTION TO CONCLUSION
Syllogism
-Applies deductive reasoning to an argument to arrive at a conclusion based on 2 or more propositions
Invalid Syllogism
-The problem in the order of the premises
False Syllogism
-Problem with the major premises
Modus Pronens
- If A then B,
- A
- Therefore B
- In the spring, birds are chirping
- The birds are chirping
- Therefore it is spring
Modus Tollen
- If A then B
- Not A
- Therefore, not B
- If it’s spring, then the birds are chirping
- the birds aren’t Chirping
- Therefore, not spring
Hypothetical Syllogism
- If A then B
- If B then C
- Then A is C
- If we developed nuclear fusion power, then electricity would be cheaper
- If power becomes cheap and plentiful then the economy will benefit
- If we develop nuclear Fusion power, the economy will benefit
Disjunctive Reasoning
- A or B
- Not A
- B
- Either Romney won in 2012 or Obama
- Romney didn’t win
- Obama did