Write this statement using the logical symbols

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In summary, logical symbols are symbols used in mathematical logic to represent logical operations and relationships between propositions. There are different types of logical symbols, such as logical connectives, quantifiers, and symbols for equality and inequality. They are used to construct statements and arguments, and are placed between propositions to indicate how they are related. Although they are mainly used in mathematical and logical contexts, they can also be used in other types of writing. However, it is important to use them correctly and follow rules such as using the correct symbols and placing them in the correct order with parentheses.
  • #1
WannaBe
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every integer is a product of two integers.

My Solution:

∀ n,o,p E Z, n = o*p E Z

Is this correct?
 
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  • #2
WannaBe said:
every integer is a product of two integers.

My Solution:

∀ n,o,p E Z, n = o*p E Z

Is this correct?

Hi WannaBe, welcome to MHB! :)

Let's see...

Your solution reads in English:
for all integers n, o, p holds that n is equal to o times p, which is an integer.​

Suppose we pick n=2, o=2, p=2, which satisfies the condition that they are integers.
Can we say that n = o * p?
 

FAQ: Write this statement using the logical symbols

What are logical symbols?

Logical symbols are symbols or characters that are used to represent logical operations and relationships between propositions in mathematical logic. They are used to express complex ideas and arguments in a concise and precise manner.

What types of logical symbols are there?

There are several types of logical symbols, including logical connectives (such as "and," "or," and "not"), quantifiers (such as "for all" and "there exists"), and symbols for equality and inequality. These symbols are used to construct statements and arguments in logic and mathematics.

How are logical symbols used in writing statements?

Logical symbols are used to represent the logical relationships between propositions in a statement. For example, the symbol "∧" is used to represent the logical operator "and," and "¬" is used to represent "not." These symbols are placed between propositions to indicate how they are related to each other.

Can logical symbols be used in any type of writing?

While logical symbols are primarily used in mathematical and logical contexts, they can also be used in other types of writing, such as philosophical arguments or computer programming. However, it is important to use them correctly and ensure that their meaning is clear to the reader.

Are there any rules for using logical symbols?

Yes, there are rules for using logical symbols in order to ensure that they accurately represent the intended logical relationships between propositions. These rules include using the correct symbols for each logical operation, placing symbols in the correct order, and using parentheses to indicate the scope of the logical operators.

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