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# 10 tasks on logic

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**30.10.2013**

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# Description

Assignment 1. Match each of the following terms for a concept by pointing to signs that form the content of this concept (in other words, give the definition of each term). Draw using a circular pattern relationship between the amount of received ideas. What are the relations in which these concepts are made in pairs, and justify why in each case takes place it is and not another way.

And - a direct deduction, in - the logical conclusion to the square, C - reasoning, the sole or one of several parcels of which is the logical form of judgment, "All S are P», D - inference logical form "All S are P, therefore, the essence of all P S », E - correct inference.

Task 2. Match each of the following terms for a concept by pointing to signs that form the content of this concept (in other words, give the definition of the term). Make any generalizations and limitations of the concept. Draw using a circular pattern relationship between the amount of received ideas.

Enthymeme.

Task 3. Match each of the following terms for a concept by pointing to signs that form the content of this concept (in other words, give the definition of each term). Set whether the division made concepts mapped to the term to which the verb "to share". For each rule, dividing justify its compliance or non-compliance. Draw using a circular pattern relationship between the amount of the dividend and the concept of members of the division.

Incompatible concepts are divided into contrary, opposite, comprehensive and mutually subject area blank.

Task 4. Set whether a definition of the term. For each rule definition justify its compliance or non-compliance. Draw using a circular scheme the relationship between a variety of subjects designated by this term, and the amount of concepts whose content is detected (right) part of the definition.

Proper dvuhposylochnoe inference - it is a conclusion that implicative formula is the antecedent - disjunction logical forms packages, and consequent - the logical conclusion of this form of reasoning is a law of logic.

Task 5. Set the ratio between simple propositions A and B using a truth table. What type of immediate deduction, which is the premise of A, and the conclusion - in? Based on the established relationships justify the correctness or incorrectness of such reasoning.

A - Some people eat their own kind. B - All ogres - is people.

Task 6. Make a simple negation of relational judgments. What attitude, which houses the original judgment and the judgment obtained by negation.

Each student trying to solve at least one problem in logic.

Task 7. Set the ratio between the complex propositions A and B using a truth table.

A - In the winter we get sick with influenza or a sore throat. B - If we are sick at the same time flu and sore throat, it means exactly winter came.

Task 8. Perform denial of complex judgments. What attitude, which houses the original judgment and the judgment obtained by negation.

If the composition A contains the judgment variables p and q, and B of the judgment includes neither p nor q, then A and B are in the opposite relation.

# Additional information

Task 9. Install the correctness or incorrectness of a simple categorical syllogism. For every general rule syllogism justify its compliance or non-compliance. If the syllogism is wrong, draw using a circular pattern is the relationship between sets of S, P and M, in which both premises are true syllogism, and the conclusion - false. Pick up some concepts, the relationship between the volume of which will correspond to the scheme.

All the elephants have a trunk. Some inhabitants of Africa - elephants. Consequently, some inhabitants of Africa no trunk.

Setting 10. Set the correctness or incorrectness of conclusions from complex judgments, using tabular or condensed tabular way of solving the problem.

If people had wings, they would have their nests in the trees or on the rocks. But people do not build their nests. Consequently, they do not have wings.