Deductive Reasoning Flashcards
What is deductive reasoning
a chain of reasoning to reach a conclusion
What makes up deductive reasoning
Premises that lead to a conclusion
Inductive Reasoning
Specific to general
What you’re observing is logically true but may or may not be realistically true
Provide an example of inductive reasoning
Basket of mangoes are on the table you want to determine if the basket is raw or ripe. Pick out two and examine them. Pick up one and determine that it’s raw. You pick up a second mango and observe that it is also raw. Based on the two raw mangoes, you can conclude that all of the mangoes in the basket are raw. We arrived at a general conclusion.
Using inductive reasoning, parse out your argument
Statement 1: Mango is a fruit (specific statement)
Statement 2: The box is full of fruits (specific statement)
Conclusion: The box is full of Mangoes (general conclusion)
Why is the conclusion of the mangoes a sound inductive reasoning argument
Both statements 1 and 2 are logically true
But realistically may or may not be true if the basket happens to have other fruit in there beyond mangoes
What is Deductive Reasoning
Logically true
Realistically true
Using the Mango example provide 2 statements that illustrate deductive reasoning
Statement #1: All mangoes are fruit (general statement)
Statement #2: All fruits have seeds (general statement)
Conclusion: Mangoes have seeds (specific conclusion)
both statements are logically true and realistically true
Inductive Reasoning: What is conjecture?
Conjecture is a hypothesis that has not been proven. Conjecture must be proven for a particular case.
What is exploratory data analysis?
It’s use data to sort out what we don’t know for form a hypothesis. (we’re exploring in the dark)
What criteria can you use to evaluate a hypothesis?
Relevance
Likelihood
Testability
Parsimony
What does parsimony mean?
An explanation of a situation or thing is created with the fewest assumptions. The Law of Parsimony advocates choosing the simplest scientific explanation that fits the evidence.
Describe the criteria for using RELEVANCE to support a hypothesis.
Ask the question, will knowing if the hypothesis is true or false advance our business objectives? Will it lead to actionable results?
Describe the criteria for using LIKELIHOOD to support a hypothesis.
How strong does our exploratory analysis support the hypothesis? We support hypothesis that is strongly supported by data rather than those that are weakly supported. We like even less hypotheses that are not supported that isn’t supported by data at all, although sometimes we may want to test them out.
Describe the criteria for using TESTABILITY to support a hypothesis.
The key question is, can we construct a test of the hypothesis? If we cannot test our hypothesis, it will remain an article of faith, and we won’t know how reliable it is. We’ll probably never know for sure if the hypothesis is true but testing it will help us determine how much confidence we can place on it.