Spot the error in this claim about attention and position.
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Same topic, related formats. Practice these next.
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Both sentences are wrong. Attention is permutation-equivariant, it has no inherent notion of 'near' or 'far' positions. Positional encoding is mandatory.
Imagine someone hands you a stack of index cards in random order and asks 'which cards were neighbors in the original stack?' If the cards don't have page numbers written on them, the question is unanswerable: the stack lost its order the moment you grabbed it. Attention is exactly that grabber: it sees the cards as a pile, never as a stack. The claim that 'nearby cards score higher together' is just false until someone writes a position number on each one.
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5 min: diagnose both errors via the equivariance property, separate content-based scoring from position-aware behavior, walk through Deep Sets framing as the formal reason PE is non-optional, and address the causal-mask counter-argument from Haviv 2022.
| Claim | Truth value | Why |
|---|---|---|
| Attention captures position implicitly | False | Permutation-equivariance; scores are content-based |
| Adjacent tokens get high attention weights structurally | False | Weights are content match, not distance |
| Transformers need positional encoding | True | Otherwise the model is a set function |
| Causal masking provides some position info | Partially true | Only in causal decoders; doesn't help encoders |
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Believing attention has any built-in notion of distance between tokens. It doesn't. Distance enters only via positional encoding.
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