In this paper, I criticize two recent and influential arguments for no-platforming advanced by Robert Simpson and Amia Srinivasan and by Neil Levy, respectively. What both arguments have in common is their attempt to reconcile no-platforming with liberal values. For Simpson and Srinivasan, no-platforming does not contradict liberalism if grounded on the distinction between norms of free speech and norms of academic freedom; for Levy, those who defend the practice need not be accused of promoting paternalism. I argue that neither view succeeds: these authors' views are in strong tension with core tenets of liberalism. I proceed as follows: after introducing some basic liberal principles, I explain Simpson and Srinivasan's argument in more detail and argue that it is too strong for some their stated purposes; then I proceed to show that both Simpson and Srinivasan and Levy's arguments would justify extremely closed universities; finally, after arguing that Levy's stance does not circumvent paternalism, I present some evidence that no-platforming would be captured by censors and probably threaten the very academic freedom that the authors want to protect.