What is Taking in Logic?

S0-SA3-0616

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

In logic, 'taking' means to assume something is true or to accept a piece of information as a starting point. It's like saying, 'Let's agree this is true for now' to help us figure out something else. We 'take' a statement as given to see what conclusions we can draw from it.

Simple Example

Quick Example

Imagine you are playing cricket. If the umpire says, 'The batsman is out!' you 'take' that decision as true without questioning it further, and the batsman leaves the field. You don't argue; you accept the given information to continue the game.

Worked Example

Step-by-Step

Let's figure out if your friend can come to play.

1. Take this information as true: 'If it rains, my friend cannot come out to play.'
---2. Now, take this second piece of information as true: 'It is raining today.'
---3. Based on these two 'taken' facts, what can we conclude?
---4. If 'it rains' means 'friend cannot come' AND 'it is raining', then the friend cannot come.
---5. So, by 'taking' the two statements as true, we conclude: Your friend cannot come out to play.

Why It Matters

Understanding 'taking' is crucial for problem-solving in maths, science, and even daily life. It helps you build arguments and make decisions based on given facts. Scientists 'take' certain observations as true to develop theories, and engineers 'take' design specifications to build amazing structures.

Common Mistakes

MISTAKE: Confusing 'taking' something as true with it being absolutely true always. | CORRECTION: 'Taking' means accepting it for the purpose of a specific argument or problem, not necessarily that it's universally true. It's a temporary assumption.

MISTAKE: Ignoring a 'taken' piece of information when trying to solve a problem. | CORRECTION: Always use all the 'taken' information as your building blocks. Each piece is important for reaching the correct conclusion.

MISTAKE: Adding new information that wasn't 'taken' as true. | CORRECTION: Stick only to the information you have been asked to 'take' as true. Don't bring in outside facts or personal opinions unless they are also 'taken' as part of the problem.

Practice Questions

Try It Yourself

QUESTION: If you 'take' that all mangoes are fruits, and you have a mango, what can you conclude? | ANSWER: You can conclude that you have a fruit.

QUESTION: Take this: 'If a student studies hard, they will get good marks.' Take this: 'Priya studied hard.' What can you logically conclude about Priya's marks? | ANSWER: You can conclude that Priya will get good marks.

QUESTION: Take this: 'All birds can fly.' Take this: 'A penguin is a bird.' What is the logical conclusion? Is this conclusion true in the real world? | ANSWER: Logical conclusion: A penguin can fly. | Is it true in the real world: No, because the initial 'taken' statement ('All birds can fly') is not universally true (penguins are an exception). This shows that 'taking' doesn't always reflect reality, but helps us practice logical steps.

MCQ

Quick Quiz

What does 'taking' a statement in logic mean?

To argue against the statement

To assume it is true for the purpose of an argument

To prove the statement is false

To ignore the statement completely

The Correct Answer Is:

Option B is correct because 'taking' a statement means accepting it as true as a starting point to see what follows logically. Options A, C, and D are the opposite of what 'taking' implies.

Real World Connection

In the Real World

When you use a navigation app like Google Maps or Ola, the app 'takes' your current location and destination as true. It then 'takes' real-time traffic data and road conditions to logically calculate the best route for your auto-rickshaw ride. Even doctors 'take' a patient's symptoms as true to logically diagnose an illness.

Key Vocabulary

Key Terms

ASSUME: To accept something as true without proof | PREMISE: A statement or idea that is taken to be true and on which an argument is based | CONCLUSION: A judgment or decision reached by reasoning | LOGIC: The process of reasoning or thinking about things in a reasonable way

What's Next

What to Learn Next

Great job understanding 'taking'! Next, you can learn about 'Inference'. Inference is what you do after 'taking' information – it's drawing conclusions based on the facts you've accepted as true. It's the next step in logical thinking!