I just tried the following and was suprised it didn't work:
\begin{tikzpicture}
... some commands
\begin{scope}[very thick,
every node=./style={circle, fill=white, minimum size=1.2mm, inner sep=0pt}
]
\node {};
\end{scope}
... other commands
\end{tikzpicture}
results in
! Package pgfkeys Error: I do not know the key '/tikz/every node./style'
and I am going to ignore it. Perhaps you misspelled it.
How can I make every node available in a scope environment?