Is a linearly ordered set equally spaced out?

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When defining a discrete - time stochastic process, the author of An Introduction to Discrete-Valued Time Series states that such a process is a sequence of random variables $(X_t)_{\mathcal{T}}$ where $\mathcal{T}$ is both a discrete and linearly ordered set. Does this mean that $\mathcal{T}$ is equally spaced?