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  1. Does knowledge of language transfer spontaneously across language modalities? For example, do English speakers, who have had no command of a sign language, spontaneously project grammatical constraints from English to linguistic signs? Here, we address this question by examining the constraints on doubling. We first demonstrate that doubling (e.g., panana, generally, ABB) is amenable to two conflicting parses (identity vs. reduplication), depending on the level of analysis (phonology vs. morphology). We next show that speakers with no command of a sign language spontaneously project these two parses to novel ABB signs in American Sign language. Moreover, the chosen parse (for signs) is constrained by the morphology of spoken language. Hebrew speakers can project the morphological parse when doubling indicates diminution, but English speakers only do so when doubling indicates plurality, in line with the distinct morphological properties of their spoken languages. These observations suggest that doubling in speech and signs is constrained by a common set of linguistic principles that are algebraic, amodal and abstract. 
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  2. Pater’s (2018) expansive review is a significant contribution towards bridging the disconnect of generative linguistics with connectionism, and as such, it is an important service to the field. But Pater’s efforts for inclusion and reconciliation obscure crucial substantive disagreements on foundational matters. Most connectionist models are antithetical to the algebraic hypothesis that has guided generative linguistics from its inception. They eschew the notions that mental representations have formal constituent structure and that mental operations are structure-sensitive. These representational commitments critically limit the scope of learning and productivity in connectionist models. Moving forward, we see only two options: either those connectionist models are right, and generative linguistics must be radically revised, or they must be replaced by alternatives that are compatible with the algebraic hypothesis. There can be no integration without structured representations. 
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  3. Unbounded productivity is a hallmark of linguistic competence. Here, we asked whether this capacity automatically applies to signs. Participants saw video-clips of novel signs in American Sign Language (ASL) produced by a signer whose body appeared in a monochromatic color, and they quickly identified the signs’ color. The critical manipulation compared reduplicative (αα) signs to non-reduplicative (αβ) controls. Past research has shown that reduplication is frequent in ASL, and frequent structures elicit stronger Stroop interference. If signers automatically generalize the reduplication function, then αα signs should elicit stronger color-naming interference. Results showed no effect of reduplication for signs whose base (α) consisted of native ASL features (possibly, due to the similarity of α items to color names). Remarkably, signers were highly sensitive to reduplication when the base (α) included novel features. These results demonstrate that signers can freely extend their linguistic knowledge to novel forms, and they do so automatically. Unbounded productivity thus defines all languages, irrespective of input modality. 
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  4. Abstract Goldin-Meadow & Brentari (G-M&B) outline several criteria for delineating the boundaries between (discrete) signs and (continuous) gestures. However, the complex links between linguistics forms and their phonetic realizations defy such heuristics. A systematic exploration of language structure by mouth and by hand may help get us closer to answering the important challenge outlined in this target article. 
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