This is a concept made more complex than necessary. The two complementary processes of inductive vs. deductive are very simply and easily understood. Consider the number series; 3, 5, 7, 'x', 11, 13, 15, 'y' Simple inspection shows this to be a series of 'odd' numbers, what a mathematician would call 'n+1'. Inductive vs. deductive simply describes the 'type' of reasoning used to determine either 'x' or 'y'. Because it lies 'inside' the other data points, the 'deduction' that 'x'=9 is reached by deductive logic, or, deductive reasoning. We 'deduce' x=9. 'y', on the other hand, lies 'outside' the data, i.e. we don't have a '19' on the 'right' of the 'y' to help us 'deduce' the answer. Much riskier than deductive logic/reasoning, we are forced to use less evidence than we did for the 'x' case. This method is called 'inductive logic/reasoning'. For those who've been exposed to just a little math, this process might seem similar to the dual processes of interpolation and extrapolation...that's because...they are. Identical. Smile, nod and thank those who try to convince you there's 'more to it than THAT!!!'. There isn't. 'Guessing' about anything from 'inside' the data = Deduction/Deductive Reasoning/Deductive Logic = fairly 'safe' procedure = (also) Interpolation. 'Guessing' about anything from 'outside' the data = Induction/Inductive Reasoning/Inductive Logic = slightly riskier procedure = (also) Extrapolation Example of Deductive Logic/Reasoning; Sign directly above two identical unmarked doors, saying 'Customer Restrooms'. Man exits 'left' door. Another man exits 'left' door. Person, with 'hoodie' up, leaves 'left' door. Fourth person, man, exits 'left' door. Deduction? Third person, of unknown gender, exiting 'left' door, was a man. Example of Inductive Logic/Reasoning (same scenario); 'Right' door is the 'ladies'. It really is just that simple.
Syllogism, logic (deductive or inductive).Syllogism, logic (deductive or inductive).Syllogism, logic (deductive or inductive).Syllogism, logic (deductive or inductive).
A theorem is a statement that is proved by deductive logic.
Inductive reasoning is weaker than deductive reasoning because inductive reasoning is known as bottom-up logic where as deductive reasoning is known as top-down logic.
Deductive reasoning.
Inference uses deductive logic to draw conclusions.
Deductive reasoning and inductive reasoning
Deductive. are the premises stated or unstated
Throughout history, the nature of syllogistic logic and deductive reasoning was shaped by grammarians, mathematicians, and philosophers.
Hugues Leblanc has written: 'An introduction to deductive logic' 'Techniques of deductive inference' 'Techniques of deductice inference'
deductive reasoning
Argument Deductive argument Inductive Argument Analogy
Aristotle is considered to have the greatest influence in the field of logic for his development of the syllogism as a tool for deductive reasoning. His work on logic set the foundation for Western philosophy and provided a structured method for valid arguments.