Deductive and Inductive Reasoning
Provide an example in which you can use deductive reasoning to draw a conclusion. State the axioms or premises used to reach the conclusion.
Karen knows if she misses cheerleading practice the day before a game that she will not be able to cheer at the game.
Karen misses practice on Tuesday, the day before the game.
Karen was not allowed to cheer at Wednesday’s game.
Deductive Reasoning:
(Premises) Fact: Karen knows if she misses cheerleading practice the day before a game she will not be able to cheer at the next game.
(Premises) Fact: Karen misses cheerleading practice on Tuesday before the game on Wednesday.
Conclusion: Karen was not able to cheer at the game on Wednesday.
Facts
Facts
Deductive Reasoning
Deductive Reasoning
Logical Argument
Logical Argument
Accepted Properties
Accepted Properties
Definitions
Definitions
Inductive Reasoning:
(Observation) Larry came into work late
(Observation) Larry didn’t have his lunch.
(Prior Experience) Larry always has his lunch with him when he comes to work.
Inductive Reasoning
Inductive Reasoning
(Conclusion) Larry overslept.
Verify/Modify
Verify/Modify
Conjecture
Conjecture
Pattern
Pattern
Compare and contrast inductive and deductive reasoning. Provide an example of each to illustrate the similarities and differences of inductive and deductive reasoning.
Because inductive and deductive reasoning can both be used to evaluate a statement, deductive reasoning involves starting with a theory or general statement and then working to get a specific conclusion. Where inductive reasoning takes a series of different observations and then tries to make into a general theory.
Both approaches are very different, but it is important to both deductive and inductive reasoning can both end with false results and with this being the case the results are “unsound”.
An Example of Inductive Reasoning based on this:
All Leopards I have seen have spots.
So you might think that all
Karen knows if she misses cheerleading practice the day before a game that she will not be able to cheer at the game.
Karen misses practice on Tuesday, the day before the game.
Karen was not allowed to cheer at Wednesday’s game.
Deductive Reasoning:
(Premises) Fact: Karen knows if she misses cheerleading practice the day before a game she will not be able to cheer at the next game.
(Premises) Fact: Karen misses cheerleading practice on Tuesday before the game on Wednesday.
Conclusion: Karen was not able to cheer at the game on Wednesday.
Facts
Facts
Deductive Reasoning
Deductive Reasoning
Logical Argument
Logical Argument
Accepted Properties
Accepted Properties
Definitions
Definitions
Inductive Reasoning:
(Observation) Larry came into work late
(Observation) Larry didn’t have his lunch.
(Prior Experience) Larry always has his lunch with him when he comes to work.
Inductive Reasoning
Inductive Reasoning
(Conclusion) Larry overslept.
Verify/Modify
Verify/Modify
Conjecture
Conjecture
Pattern
Pattern
Compare and contrast inductive and deductive reasoning. Provide an example of each to illustrate the similarities and differences of inductive and deductive reasoning.
Because inductive and deductive reasoning can both be used to evaluate a statement, deductive reasoning involves starting with a theory or general statement and then working to get a specific conclusion. Where inductive reasoning takes a series of different observations and then tries to make into a general theory.
Both approaches are very different, but it is important to both deductive and inductive reasoning can both end with false results and with this being the case the results are “unsound”.
An Example of Inductive Reasoning based on this:
All Leopards I have seen have spots.
So you might think that all