Why can making a ceramic disk capacitor thinner increase its capacitance?

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Figure 1: Ferroelectric properties of barium titanate (BaTiO3). (Left) Above 120° C the structure of the BaTiO3 crystal is cubic, and there is no net polarization of charge; (right) below 120° C the structure changes to tetragonal, shifting the relative positions of the ions and causing a concentration of positive and negative charges toward opposite ends of the crystal. — capacitor dielectric and piezoelectric ceramics Figure 1: Ferroelectric properties of barium titanate (BaTiO₃). (Left) Above 120° C the structure of the BaTiO₃ crystal is cubic, and there is no net polarization of charge; (right) below 120° C the structure changes to tetragonal, shifting the relative positions of the ions and causing a concentration of positive and negative charges toward opposite ends of the crystal.

Making a ceramic disk capacitor thinner increases its capacitance because capacitance is inversely proportional to the distance between the capacitor's electrodes.12

For a parallel-plate capacitor, the capacity ( $C$ ) is defined by the formula:
$C = \frac{κ ϵ_{0} A}{d}$
In this equation, $d$ represents the separation distance between the electrodes (the thickness of the dielectric material). As the thickness ( $d$ ) is reduced, the value of the capacitance ( $C$ ) increases. While thinning a ceramic disk is an effective way to boost capacitance, it can also make the component more fragile, which is why manufacturers often utilize multilayer capacitors to achieve higher capacitance in a more robust form factor.123