Which of the following is a necessary condition for the concept 'x is purple'? (choose all that apply)

Question

BlackTom AI · Accepted Answer

We are asked to identify which statements are necessary conditions for the concept 'x is purple'. A necessary condition means that if x is purple, then the condition must hold.

Option 1: 'x is not blue'
- Reasoning: If something is purple, it cannot be blue by the standard color-category distinctions (purple and blue refer to different hues). Therefore, 'x is not blue' must hold for any x that is purple, making it a necessary condition. Note that this relies on typical color classification and may have edge cases in nuanced color perception, but in ordinary usage it is a valid necessary condition.

Option 2: 'x is a colour'
- Reasoning: Purple is a color term, so anything that is purple is also a color. Thus, 'x is a colour' must be true whenever 'x is purple', making it another necessary condition. This captures the idea that purple cannot exist as a non-color property in standard color terminology.

Summary for both options: Each statement describes a property that must hold if x is purple. If either condition failed (for example, if x were blue or not a color at all), x could not be described as purple under conventional definitions. There are no stated conditions that would violate the necessity of these properties in the provided context, so both options are consistent as necessary conditions.

PHI 007Y A01 WQ 2025 Final Exam

Which of the following is a necessary condition for the concept 'x is purple'? (choose all that apply)

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