Inductive vs Deductive Reasoning

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Inductive reasoning involves drawing general conclusions from specific observations, while deductive reasoning applies general principles to reach specific conclusions. The example provided about the Women's Liberation Movement illustrates inductive reasoning, as the conclusion about a future female president is based on observed trends but is not guaranteed. Inductive arguments do not ensure the truth of their conclusions, whereas deductive arguments, if based on true premises, must lead to a true conclusion. Clarifying these distinctions helps in correctly identifying reasoning types in various arguments. Understanding these concepts enhances critical thinking skills and argument analysis.
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So, I'm having some trouble with differentiating between inductive and deductive reasoning. I understand the basic principle—inductive is going from specific to general, and deductive is going from general to specific—but I don't know if I'm right when I apply my understanding to actual arguments. For example, I think this statement is inductive reasoning: "The Women's Liberation Movement has made great strides in recent years, and many women have been elected to political offices. Judging by these accomplishments it is likely that the next American President will be a woman." Would that be a correct? Thanks in advance for any help!
 
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Yes it's inductive. It is not deductive because the conclusion cannot be deduced from the given premises.
 
It's not good to define inductive reasoning as that from specific to general and deductive as general to specific. Inductive arguments are those whose premises do not guarantee the truth of their conclusions, while a deductive argument, if it has true premises, must have a true conclusion. Here is an example of an inductive argument that reasons from general to specific:

Most of the people I've met don't like tuna
I've just met a new person
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This new person doesn't like tuna

Here is an example of a deductive argument that reasons from specific to general:

My father loves pizza
My mother loves pizza
I love pizza
My brother loves pizza
My family consists of my mother, father, brother, and myself
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All members of my family love pizza
 
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@Geofleur: thank you for those examples and the explanation. That really helped!

@andrewkirk: thanks for confirming that!
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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