Incomplete Dominant and Codominant Traits Worksheet Worksheet for ... - Free Printable

Problem Analysis:

The task involves analyzing logical statements and determining whether they are examples of deductive reasoning or inductive reasoning. Additionally, you need to evaluate whether the reasoning is valid or invalid based on the structure of the arguments.

Let's break down each part of the problem step by step:

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Part (a):

#### Statement:
- Premise A: All dogs are mammals.
- Premise B: All mammals have hearts.
- Conclusion: Therefore, all dogs have hearts.

#### Solution:
1. Type of Reasoning:
- This is an example of deductive reasoning because the conclusion is logically derived from the premises. If the premises are true, the conclusion must also be true.

2. Validity:
- The argument is valid because the conclusion necessarily follows from the premises.
- Premise A states that all dogs are mammals.
- Premise B states that all mammals have hearts.
- Therefore, it logically follows that all dogs have hearts.

3. Explanation:
- Deductive reasoning involves starting with general premises and drawing a specific conclusion that is guaranteed to be true if the premises are true.
- Here, the premises are:
1. All dogs are mammals.
2. All mammals have hearts.
- From these premises, it is logically necessary that all dogs have hearts. Thus, the reasoning is valid.

#### Final Answer for Part (a):
- Type of reasoning: Deductive reasoning
- Validity: Valid

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Part (b):

#### Statement:
- Premise A: Some birds can fly.
- Premise B: Penguins are birds.
- Conclusion: Therefore, penguins can fly.

#### Solution:
1. Type of Reasoning:
- This is an example of deductive reasoning because the conclusion is attempted to be derived logically from the premises.

2. Validity:
- The argument is invalid because the conclusion does not necessarily follow from the premises.
- Premise A states that some birds can fly, but it does not imply that all birds can fly.
- Premise B states that penguins are birds.
- However, the fact that some birds can fly does not guarantee that all birds (including penguins) can fly. Penguins are a counterexample to the idea that all birds can fly.

3. Explanation:
- Deductive reasoning requires that the conclusion be guaranteed by the premises. In this case, the premises do not provide enough information to conclude that penguins can fly. The statement "some birds can fly" is too broad to support the conclusion about penguins.

#### Final Answer for Part (b):
- Type of reasoning: Deductive reasoning
- Validity: Invalid

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Part (c):

#### Statement:
- Premise A: In humans, sickle cell anemia is an autosomal recessive genetic disorder that is caused by a mutation in the hemoglobin gene.
- Premise B: Individuals with sickle cell anemia have two copies of the mutated gene.
- Conclusion: Therefore, individuals with sickle cell anemia will always have at least one parent who is a carrier of the mutated gene.

#### Solution:
1. Type of Reasoning:
- This is an example of deductive reasoning because the conclusion is logically derived from the premises.

2. Validity:
- The argument is valid because the conclusion necessarily follows from the premises.
- Premise A establishes that sickle cell anemia is caused by a mutation in the hemoglobin gene and is inherited in an autosomal recessive pattern.
- Premise B specifies that individuals with sickle cell anemia have two copies of the mutated gene.
- For an individual to inherit two copies of the mutated gene, at least one parent must carry the mutated gene (since the gene is recessive). This is a fundamental principle of genetics.

3. Explanation:
- Deductive reasoning ensures that if the premises are true, the conclusion must also be true. Here, the premises provide sufficient information to conclude that individuals with sickle cell anemia must have at least one parent who is a carrier of the mutated gene.

#### Final Answer for Part (c):
- Type of reasoning: Deductive reasoning
- Validity: Valid

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Final Summary:

1. Part (a):
- Type of reasoning: Deductive reasoning
- Validity: Valid

2. Part (b):
- Type of reasoning: Deductive reasoning
- Validity: Invalid

3. Part (c):
- Type of reasoning: Deductive reasoning
- Validity: Valid

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{(a)} & \text{Deductive reasoning, Valid} \\
\text{(b)} & \text{Deductive reasoning, Invalid} \\
\text{(c)} & \text{Deductive reasoning, Valid} \\
\end{array}
}
\]