Intro to Geometry
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Logic | The study of reasoning. Allow us to determine if a statement is true, false, or uncertain.
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| Open Sentence | Contains no truth value. Contains a variable.
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| 3x+2=7 | Open Sentence
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| 10+4=15 | Closed Sentence
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| Hannah has blue eyes. | Closed Sentence
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| She has blue eyes. | Open Sentence
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| Negatation | (~) place not in the statement or remove it. A statement and it's negatation have opposite truth values.
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| Conjunction | Compound sentence formed by using and. (^) Only true when both parts are true.
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| Disjunction | A compound sentence formed by using or (v) Only false when both parts are false. Only needs at least one true.
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| Conditional | A compound sentence using if....then or implies (➡)
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| Biconditional | (p ➡ q)^(q ➡ p) if and only if or (p ⬅➡ q) True when both parts match.
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| Hypothesis | Follows if
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| Conclusion | Follows then
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| Consiquent | Another word for conclusion
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| Compound Statement | T,F,T,F Sentence that is a mixture of true and false
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| Tautology | Compound sentence that is always going to be true T,T,T,T
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| Logically Equivalent | 2 statements that always have the same truth value. If it is logically equivalent it is tautology.
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| Law of Detachment | R ➡ ~W
R
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~W
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| Conditional (original) | P ➡ Q
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| Converse | Q ➡ P Switch
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| Inverse | ~P ➡ ~Q Negate
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| Contrapositive | ~Q ➡ ~P Switch and Negate
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| A conditional and it's contrapositive always have same truth value | Logically Equivalent
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| The converse and its inverse always have the same truth value | Logically Equivalent
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| Law | Any thing that is true
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| Given/ Premise | Always true
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| Modus Tollens | A conditional Premise
Negation of the Conclusion
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Conclude Negation of Hypothesis
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| What is the difference between Law of Detachment and Modus Tollens? | In law of deatchment same symbols line up.
P➡Q
P
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Q
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| Modus Tollens= | Contrapositive and Law of Detachment
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
Naylor
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