Support Vector Machine: A non-probabilistic binary linear classifier
It can be said that, it is not based on a generative model which models the generation process of the data and itself a probabilistic model. SVM is based on a minimization problem, which seeks for a hyperplane that optimally separates data points of two clusters given the labels. There is nothing probabilistic in this formulation. You just formulate an optimization problem and solve it via Lagrange multipliers.

I heard (but not studied) that, there are probabilistic SVMs, maybe if you study them, you can see the difference.

Note that, at the fundamentals, authors talk about probabilistic notions, such as risk minimization, however at the macro scale, there is no probabilistic notion.