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We assume that the current mathematical knowledge $K$ is a finite set ofstatements from both formal and constructive mathematics, which istime-dependent and publicly available. Any formal theorem of any mathematicianfrom past or present forever belongs to $K$. Let $T$ denote the set of twinprimes. The true statement "There is no known constructively defined integer$n$ such that ${\rm card}(T)<\omega \Rightarrow T \subseteq (-\infty,n]$" isnot formal, belongs to $K$, and may not belong to $K$ in the future. The truestatement "There exists a set $X \subseteq \{1,\ldots,49\}$ such that ${\rmcard}(X)=6$ and $X$ never occurred as the winning six numbers in the PolishLotto lottery" refers to the current non-mathematical knowledge and does notbelong to $K$. The set $K$ exists only theoretically. Ignoring $K$ and itssubsets, sets exist formally in $ZFC$ theory although their properties can betime-dependent (when they depend on $K$) or informal. In every branch ofmathematics, the set of all knowable truths is the set of all theorems. Thisset exists independently of $K$. Algorithms always terminate. We explain thedistinction between algorithms whose existence is provable in $ZFC$ andconstructively defined algorithms which are currently known. By using thisdistinction, we obtain non-trivially true statements on decidable sets $X\subseteq \mathbb{N}$ that belong to constructive and informal mathematics andrefer to the current mathematical knowledge on $X$. This and the next sentencejustify the article title. The current knowledge in any empirical discipline isthe whole discipline because truths from the empirical sciences are notnecessary truths but working models of truth about particular real phenomena.

In constructive and informal mathematics, in contradistinction to any  empirical science, the predicate of the current knowledge in the subject is  necessary