# Logic, option 3

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1. Point to the objective (denotation) and meaning (concept) the value of the expressions:
"Symphony"
"Composer, wrote the music for the ballet" Sleeping Beauty "and" Nutcracker "
2. Indicate which of these expressions are a function name and any propositional; specify their area (single or double, or triple) to get the names of them, or sentences expressing true or false statements (judgments)
x divided by 4 without a remainder
3. Draw the relationship between the concepts in the circles of Euler:
Poodle, dachshund, dog, pet horse.
Ball, ball kids, sports equipment, basketball, dumbbells.
Vowel, the letter, the letter A, the letter B sign.
Square, cube, geometric shapes, flat geometric figure, the spatial figure.
Plants, house plants, flowers, carrots, poplar.
The officer, a sailor, athlete, captain, soldier, military.
4. Set whether the definition is correct, and if not - specify which rules are broken:
The dog - a friend of man.
A table is a product intended for food or work.
Some structures in many species of organisms apparently have no function, and is called rudimentary organs.
Dentin - a special substance that covers the teeth.
5. You follow the rules of division in the examples, if - no, what a rule is broken?
Correct quads are divided into lozenges, squares and rectangles.
People are divided on the giving and taking a loan.
6. Pick up the concepts that are in the following respects:
7. Limit the concept of "aircraft", "crime", "military".
8. Set the quantity and quality of judgment and give it a standard form of one of four types of A, E, I, O determine the distribution terms.
Painful emotions are useless.
A noble man, according to the teachings of Confucius, has for mankind.
Law students are studying legal science.
The diamond is used as a cutting tool.
Whales - mammals.
9. Build a truth table of the formula:
(A v B) ^ ¬C
((A ^ B) ^ C) → (C v A)
10. Express in symbolic form, the following judgments:
If Peter was passing working, he immediately undertook to help: either pass number two with a scythe, or navet cart, or cut down a tree or chop firewood.
"If a person commits the same mistake twice, he should raise his hands up and admit or carelessness, or stubbornness" (J. Lorimer).
"The true measure of civilization - not the level of wealth and education, not the size of the cities, not the abundance of the harvest, and the human form, to educate the country" (R. Emerson).

11. Establish, whether constructed argument:
Socialists support the president only if he would sign a decree. Liberals support the president, but he vetoed it. Therefore, the president will lose the support of the socialists and the liberals.
I'll go home, or stay here and drink a cup. I will not go home. Therefore, I will stay and drink.
If 6 - a composite number, then 12 - a composite number. If a 12 - a composite number, there exists a prime number greater than 12. If there is a simple integer greater than 12, then there is a composite number greater than 12. If 6 is divided into two, the 6 - composite number. Number 12 - a composite. Consequently, 6 - a composite number.
12. Construct a direct inference - treatment, the transformation, the opposition predicate:
All carp - fish.
Every soldier wants to become a general.
Some teens philatelists.
Persons involved in smuggling are brought to justice.
Some judgments do not apply.
13. Write a simple categorical syllogism in a standard form. Check the rules, whether listed below categorical syllogism correct, but the conclusion - a true judgment.
I am human. You - not me. So you - not the person.
Life - a struggle. Judo - wrestling. So, life - judo.
14. Output, if possible, an opinion on the rules of the syllogism. If the output is not possible, determine what rules (common (parcels, terms) and private (figures)) violated.
Each of the co-owners the right to demand partition of his share from the common property. V. - the co-owners.
Bribery - malfeasance and misconduct punishable.
Forensic experts are obliged to give truthful testimony. Witnesses are obliged to give truthful testimony. Therefore ...
No animal has the second signal system. The cat also has no second signal system.
15. Give a complete description of logical concepts (concepts to determine the type of content and volume):
student
perpetual motion
ocean
truth
abstraction
Lermontov
island

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