Deductive Reasoning

All men are mortal. Socrates is a man. Is Socrates mortal?

What you'll see

Model name
The AI model that generated the response.
Credits used
The computational cost of generating the response.
Generation time
How long the model took to generate the response.

claude-3-5-haiku-20241022

Credits:
0.33039
Generation time:
8.60 s

This is a classic example of a syllogism, which is a form of logical reasoning. Let's break down the argument:

Premise 1: All men are mortal. Premise 2: Socrates is a man. Conclusion: Therefore, Socrates is mortal.

This syllogism follows a valid logical structure known as a categorical syllogism. The reasoning is sound because:

  1. The first premise states a universal statement about all men being mortal.
  2. The second premise identifies Socrates as a man.
  3. The conclusion logically follows that Socrates, being a man, is therefore mortal.

This argument is a perfect demonstration of deductive reasoning, where a specific conclusion is drawn from general premises. In this case, if the premises are true, the conclusion must also be true.

So, yes, Socrates is mortal according to this logical argument.

This particular syllogism is often used in logic and philosophy to illustrate how deductive reasoning works, showing how general statements can be applied to specific cases to draw logical conclusions.

claude-3-5-sonnet-20241022

Credits:
1.1196779999999997
Generation time:
8.03 s

Yes, Socrates is mortal. This is a classic example of a syllogism - a form of deductive reasoning that follows this structure:

  1. Major premise: All men are mortal
  2. Minor premise: Socrates is a man
  3. Conclusion: Therefore, Socrates is mortal

This is one of the most famous examples used to teach logical reasoning. The conclusion necessarily follows from the two premises - if we accept that all men are mortal (premise 1) and that Socrates is a man (premise 2), then we must accept that Socrates is mortal.

This type of logical reasoning forms the basis of many philosophical arguments and demonstrates how we can arrive at valid conclusions through proper deductive reasoning. It's a fundamental concept in both logic and philosophy.

The strength of this particular syllogism lies in its clarity and undeniable logical connection between the premises and the conclusion. If both premises are true (which they are in this case), the conclusion must be true as well.

claude-3-7-sonnet-20250219

Credits:
1.5945779999999998
Generation time:
8.68 s

Yes, Socrates is mortal.

This is a classic example of a syllogism, which is a form of deductive reasoning:

  1. All men are mortal (first premise)
  2. Socrates is a man (second premise)
  3. Therefore, Socrates is mortal (conclusion)

Since Socrates belongs to the category of "men," and all members of this category have the property of being "mortal," it logically follows that Socrates must also possess this property. This type of reasoning forms the foundation of classical logic.

claude-opus-4-1-20250805

Credits:
7.843908000000001
Generation time:
9.51 s

Yes, Socrates is mortal.

This is a classic example of logical deduction called a syllogism. Following the logical structure:

  1. All men are mortal (major premise)
  2. Socrates is a man (minor premise)
  3. Therefore, Socrates is mortal (conclusion)

Since Socrates belongs to the category "men" and all members of that category are "mortal," Socrates must necessarily be mortal. This form of reasoning is called deductive logic, where the conclusion must be true if the premises are true.

Interestingly, this particular syllogism has become one of the most famous examples in philosophy and logic, often used to teach basic principles of logical reasoning!

claude-opus-4-20250514

Credits:
6.628944000000001
Generation time:
11.82 s

Yes, Socrates is mortal.

This is a classic example of a logical syllogism. Based on the two premises you've given: 1. All men are mortal (major premise) 2. Socrates is a man (minor premise)

The conclusion logically follows: 3. Therefore, Socrates is mortal

This type of deductive reasoning guarantees that if both premises are true, the conclusion must also be true. It's actually one of the most famous examples used to teach basic logic, often attributed to Aristotle's work on syllogisms.

claude-sonnet-4-20250514

Credits:
1.70886
Generation time:
10.74 s

Yes, Socrates is mortal.

This is a classic example of deductive reasoning using a logical syllogism:

Premise 1: All men are mortal Premise 2: Socrates is a man Conclusion: Therefore, Socrates is mortal

Since both premises are true, the conclusion logically follows. This particular example is one of the most famous illustrations of syllogistic reasoning in logic and philosophy, often used to demonstrate how we can arrive at specific conclusions from general principles.

The logical structure here moves from a universal statement (all men) to a particular case (Socrates), making it a valid deductive argument where the conclusion is necessarily true if the premises are true.

claude-sonnet-4-5

Credits:
2.096118
Generation time:
10.65 s

Yes, Socrates is mortal!

This is a perfect example of a logical syllogism - specifically, a categorical syllogism in the form of "Barbara" (one of the valid argument forms in classical logic).

Here's how it works:

Premise 1: All men are mortal (Major premise)
Premise 2: Socrates is a man (Minor premise)
Conclusion: Therefore, Socrates is mortal

The logic is valid and the conclusion follows necessarily from the premises. If we accept that: 1. Every member of the category "men" has the property "mortal" 2. Socrates belongs to the category "men"

Then we must conclude that Socrates has the property "mortal."

This particular example has been used for over 2,000 years to teach the basics of deductive reasoning and formal logic. It's actually quite fitting that it uses Socrates himself as the example, given his foundational role in Western philosophy! 🤔

deepseek-chat

Credits:
0.076278
Generation time:
12.92 s

Yes, Socrates is mortal. This is a classic example of a syllogism, a form of deductive reasoning where a conclusion is drawn from two given or assumed propositions (premises). Here's how it breaks down:

  1. Major Premise: All men are mortal. (This establishes a general rule.)
  2. Minor Premise: Socrates is a man. (This applies the general rule to a specific case.)
  3. Conclusion: Therefore, Socrates is mortal. (This logically follows from the premises.)

This syllogism is valid because the conclusion necessarily follows from the premises. If the premises are true, the conclusion must be true. It's a foundational example in logic, often attributed to Aristotle.

Would you like to explore other examples of syllogisms or delve deeper into logical reasoning?

deepseek-reasoner

Credits:
0.35917199999999994
Generation time:
32.54 s

Based on the classic logical syllogism:

  1. Major premise: "All men are mortal."
    This establishes a universal truth: every member of the category "men" possesses the attribute "mortal."

  2. Minor premise: "Socrates is a man."
    This confirms that Socrates belongs to the category "men."

  3. Conclusion: Therefore, Socrates is mortal.

Why is this valid?

  • This follows the structure of a categorical syllogism (specifically, "Barbara" form in Aristotelian logic):
  • All A are B (All men are mortal).
  • C is A (Socrates is a man).
  • Therefore, C is B (Socrates is mortal).
  • It adheres to the logical rule of universal instantiation: If a property applies to all members of a group, it applies to any specific member of that group.

💡 Key Insight:

The conclusion is necessarily true if the premises are true. This deductive reasoning showcases how logic derives specific truths from general principles. Socrates, being human, shares the inevitable fate of mortality common to all humans.

Let me know if you’d like to explore related concepts (e.g., logic rules, historical context of Socrates, or counterexamples)! 😊

gemini-1.5-pro

Credits:
0.54372
Generation time:
5.38 s

Yes, Socrates is mortal. This is a classic example of a syllogism, a type of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.

Here's how it breaks down:

  • Premise 1: All men are mortal. (This is a general statement.)
  • Premise 2: Socrates is a man. (This is a specific statement.)
  • Conclusion: Therefore, Socrates is mortal. (This conclusion is logically derived from the two premises.)

Since all men are mortal, and Socrates is a member of the set of all men, then he must also share the characteristic of being mortal.

gemini-2.0-flash

Credits:
0.022224
Generation time:
3.32 s

Yes, based on the premises provided:

  • All men are mortal.
  • Socrates is a man.

We can conclude that Socrates is mortal. This is a classic example of a deductive argument, where if the premises are true, the conclusion must also be true.

gemini-2.0-flash-lite

Credits:
0.03522599999999999
Generation time:
3.57 s

Yes, Socrates is mortal. This is a classic example of a deductive argument called a syllogism. Here's how it works:

  • Premise 1: All men are mortal. (This is a general statement.)
  • Premise 2: Socrates is a man. (This is a specific statement.)
  • Conclusion: Therefore, Socrates is mortal. (This follows logically from the two premises.)

Since Socrates is a man, and all men are subject to death, then Socrates must also be subject to death.

gemini-2.5-flash-preview-05-20

Credits:
0.055536
Generation time:
3.79 s

Ano, zcela určitě!

Na základě logiky sylogismu, který jste představil, je odpověď jasná:

  1. Všichni lidé jsou smrtelní. (Obecné pravidlo)
  2. Sokrates je člověk. (Konkrétní případ spadá pod obecné pravidlo)

Z toho vyplývá, že Sokrates je smrtelný.

Je to klasický příklad deduktivního uvažování!

gemini-2.5-pro-preview-03-25

Credits:
0.460878
Generation time:
6.69 s

Hello there!

Yes, indeed! Based on the premises you've provided:

  1. All men are mortal.
  2. Socrates is a man.

It logically follows that Socrates is mortal.

This is a classic example of deductive reasoning, specifically a form of syllogism. If the first two statements are true, the conclusion must also be true. 😊

gpt-4.1

Credits:
0.272196
Generation time:
3.98 s

Yes, Socrates is mortal.

Here’s the reasoning: 1. All men are mortal. (Every man is mortal.) 2. Socrates is a man. 3. Therefore, Socrates is mortal.

This follows a classic deductive reasoning structure known as a syllogism. If the premises are true, the conclusion must also be true.

gpt-4.1-mini

Credits:
0.055896
Generation time:
5.89 s

Yes, Socrates is mortal.

The reasoning follows a classic logical syllogism:

  1. All men are mortal.
  2. Socrates is a man.
    Therefore,
  3. Socrates is mortal.

Since Socrates belongs to the category of "men," and all members of that category are mortal, Socrates must be mortal as well.

gpt-4.1-nano

Credits:
0.01929
Generation time:
4.73 s

Yes, based on the premises provided, Socrates is mortal.

Here's the reasoning:

  1. All men are mortal.
  2. Socrates is a man.

From these, we can conclude that Socrates falls under the category of men. Since all men are mortal, Socrates is also mortal. This is a classic example of a logical deductive argument.

gpt-4o

Credits:
0.36625800000000003
Generation time:
6.71 s

Yes, Socrates is mortal.

The reasoning here is based on a classic form of logic called a syllogism:

  1. All men are mortal. (General premise)
  2. Socrates is a man. (Specific premise)
  3. Therefore, Socrates is mortal. (Conclusion)

This deductive reasoning correctly concludes that Socrates is mortal, given that he falls under the category of "all men" who are described as mortal.

gpt-4o-mini

Credits:
0.029495999999999998
Generation time:
6.58 s

Yes, based on the premises you've presented, we can conclude that Socrates is mortal. This is a classic example of a syllogism in logical reasoning.

  1. All men are mortal. (Premise 1)
  2. Socrates is a man. (Premise 2)
  3. Therefore, Socrates is mortal. (Conclusion)

This logical structure shows that if the premises are true, then the conclusion must also be true.

gpt-5

Credits:
0.36471300000000006
Generation time:
3.13 s

Yes. Given that all men are mortal and Socrates is a man, it follows that Socrates is mortal.

gpt-5-mini

Credits:
0.15903299999999998
Generation time:
4.26 s

Ano. Důvod:

1) Všichni muži jsou smrtelní. (všichni x, pokud x je muž, pak x je smrtelný)
2) Sokrates je muž.
3) Z toho logicky plyne, že Sokrates je smrtelný — patří do množiny mužů, tedy i do množiny smrtelných.

Formálně jde o klasický syllogismus (universální afirmace + particularita) nebo aplikaci implikace: pokud p → q a p, pak q.

gpt-5-nano

Credits:
0.040647
Generation time:
2.57 s

Ano. Zpremisa 1: Všichni muži jsou smrtelní. Zpremisa 2: Sokrates je muž. Podmínka platí pro všechny muže, takže i Sokrates spadá do kategorie smrtelných. Tedy: Sokrates je smrtelný.

grok-2-1212

Credits:
0.40047000000000005
Generation time:
4.01 s

Yes, Socrates is mortal. This conclusion follows logically from the given premises using a simple syllogism:

  1. All men are mortal.
  2. Socrates is a man.

From these two statements, we can deduce that Socrates, being a man, must also be mortal. This is a classic example of a syllogistic argument, specifically a categorical syllogism, where the conclusion (Socrates is mortal) follows necessarily from the major premise (All men are mortal) and the minor premise (Socrates is a man).

grok-2-vision-1212

Credits:
0.32956799999999997
Generation time:
3.86 s

Based on the classic syllogism you've provided:

  • All men are mortal.
  • Socrates is a man.

We can logically conclude that:

  • Yes, Socrates is mortal.

This is a straightforward application of deductive reasoning where the general rule (all men are mortal) is applied to a specific instance (Socrates). If you'd like to explore more about logic or philosophy, feel free to ask!

grok-3

Credits:
0.671778
Generation time:
4.17 s

Yes, Socrates is mortal. Let's break this down logically. The statement "All men are mortal" establishes a universal rule that every man possesses the characteristic of being mortal, meaning they will eventually die. The second statement, "Socrates is a man," identifies Socrates as belonging to the category of men. Therefore, based on the rule that all men are mortal, it follows that Socrates, being a man, must also be mortal. This is a classic example of a categorical syllogism in logic, where a conclusion is drawn from two premises, and in this case, the conclusion is that Socrates is indeed mortal.

grok-3-mini

Credits:
0.071154
Generation time:
6.96 s

Sure, that's a classic example of a logical syllogism from philosophy! Let's break it down step by step to make it clear and easy to follow.

The Premises:

  1. All men are mortal. This is a general statement, meaning that every individual who qualifies as a "man" (in this context, likely referring to human beings) shares the characteristic of being mortal, or capable of dying.

  2. Socrates is a man. This is a specific statement about Socrates, identifying him as part of the group defined in the first premise.

The Reasoning:

This is an example of deductive reasoning, where we draw a conclusion based on the given premises. If the first premise is true (all men are mortal), and the second premise is also true (Socrates is a man), then we can logically infer that Socrates must share the property of being mortal.

In logical terms: - If A (men) implies B (mortal), and Socrates is A, then Socrates is B.

This kind of argument was famously used by philosophers like Aristotle to demonstrate how we can arrive at certain truths through clear reasoning.

The Conclusion:

Based on the premises you provided, yes, Socrates is mortal!

If you'd like to dive deeper into logic, philosophy, or even explore related examples, feel free to ask—I'm here to help! 😊

grok-4-latest

Credits:
2.5606320000000005
Generation time:
20.77 s

Yes, based on the logical syllogism you've presented, Socrates is mortal! Let me break it down step by step in a friendly way to show why this makes sense—it's a classic example from philosophy and logic, often attributed to Aristotle.

The Syllogism Explained

A syllogism is a form of deductive reasoning where you start with general statements (premises) and draw a specific conclusion. Here's how yours works:

  1. Major Premise (General Rule): All men are mortal.
    - This means every human being (assuming "men" here refers to humankind in the classical sense) will eventually die. It's a universal statement about mortality.

  2. Minor Premise (Specific Fact): Socrates is a man.
    - Socrates was an ancient Greek philosopher (around 470–399 BCE), and yes, he fits into the category of "men" or humans.

  3. Conclusion (Logical Deduction): Therefore, Socrates is mortal.
    - If the general rule applies to all humans, and Socrates is a human, then the rule must apply to him specifically. There's no escaping it logically!

Why This Matters

This is one of the most famous examples in logic, often used to illustrate how sound reasoning works. It's from the field of categorical syllogisms, where you connect categories like "men" and "mortals." As long as the premises are true (which they are in this context), the conclusion is unavoidable.

If you're asking this as a riddle, a philosophy question, or just for fun, it's a great one! Fun fact: Socrates himself was all about questioning assumptions, so he'd probably approve of dissecting this. If you meant something else or want to dive deeper into logic, philosophy, or even Socrates' life (he was famously sentenced to death by drinking hemlock), just let me know—I'm here to chat! 😊

o1

Credits:
4.475634
Generation time:
6.08 s

Yes, from the premises “All men are mortal” and “Socrates is a man,” it logically follows that Socrates must be mortal. This is a classic example of a syllogism in logic: if every member of a group (men) has a characteristic (being mortal), and Socrates is a member of that group, then Socrates also has that characteristic.

o3

Credits:
1.086834
Generation time:
2.39 s

Yes.
Because every man is mortal and Socrates belongs to the set “men,” the property “mortal” applies to him as well.

o3-mini

Credits:
0.244824
Generation time:
4.53 s

Yes, Socrates is mortal. This follows from the logical argument known as a syllogism:

  1. All men are mortal.
  2. Socrates is a man.
  3. Therefore, Socrates is mortal.

Since Socrates fits into the category of "men" and all men are said to be mortal, it logically follows that Socrates must be mortal.

o4-mini

Credits:
0.11479200000000002
Generation time:
3.67 s

Yes. By the standard syllogism:
1. All men are mortal.
2. Socrates is a man.
Therefore
3. Socrates is mortal.

Understanding AI model comparisons

These comparisons are provided for informational purposes only. Actual results may vary depending on several factors.

Why responses may vary

AI models are non-deterministic — the same question can produce different answers across runs. The responses shown here are representative snapshots captured at a specific point in time and may differ from what you receive today. Providers also update their models regularly, which can change response quality, tone and length.

Key factors affecting credit consumption

Credit usage depends on the length of the question and answer (token count), the specific model used and the complexity of the task. Longer or more complex responses consume more credits. Generation time depends on model size, provider load and response length, and does not directly affect the credit cost.