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Effective field theories (EFTs) provide a framework to parameterize our ignorance of UV physics using Wilson coefficients, which are not assigned a priori values. However, certain values of these coefficients can lead to unphysical outcomes. In this talk, I will review how causal propagation in the IR can give bounds on EFTs. Then, I will explain how this criterion can be applied to cosmological spacetime. I will show explicit constraints on shift symmetric scalars in de Sitter and on the EFT of inflation. The latter analysis focuses on models where there is a large growth in the power spectrum of the curvature fluctuations. Such models are particularly interesting as they can produce primordial black holes and scalar-induced gravitational waves.